{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.1927536231884058\n",
      "-0.07736943907156674\n"
     ]
    },
    {
     "data": {
      "image/png": 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WzNkhSikOHz5c5jJTL7/8srPDFJEaQj2vIlJl7Nu3j8zMzIte9/DwoF27dpUYkdgiLy+vxHJkfxcREeGQ5dBEpPZR8ioiIiIi1YaGDYiIiIhItVHj13k1mUwkJCTg6+tr077UIiIiIlK5zGYzmZmZRERElDm5s8YnrwkJCURGRjo7DBEREREpw7Fjx8rcbbHGJ6++vr6A5YfhiG0F/y4/P58VK1YwcOBA3NzcHN6eVB4925pLz7Zm0nOtufRsa56MjAwiIyOtedul1PjktWiogJ+fX6Ulr97e3vj5+ekvVA2jZ1tz6dnWTHquNZeebc1lyxBPTdgSERERkWpDyauIiIiIVBtKXkVERESk2qjxY15FRESkZjGbzRiNRnJzcyksLHR2OGIDFxcXXF1dK2TZUiWvIiIiUm3k5eVx4sQJwsPDOXr0qNZwr0a8vb0JDw/H3d39supR8ioiIiLVgslkIj4+HqPRSEREBP7+/ri4uDg7LCmD2WwmLy+PU6dOER8fT4sWLcrciOBSlLyKiIhItZCXl4fJZKJ+/foUFBTg5eV1WUmQVB4vLy/c3Nw4cuQIeXl5eHp6lrsuPXERERGpVpSwVk8V9dz09EVERESk2lDyKiIiIiLVhsa8ioiISK1SaDKzOT6V5MwcQnw96dYkEBejVi2oLtTzKiIiIrXG8j2JXPnar/zzg408sXAH//xgI1e+9ivL9yQ6tN3k5GQeeughGjZsiIeHB2FhYVx33XVs2LABgMaNG2MwGDAYDHh7e9O2bVvee++9crc3atQoa31ubm40bdqUZ555hqysLGuZJUuW0L17d/z9/fH19SU6Opqnn37aen3u3LnWOgwGA+Hh4fzjH/8gPj6+/D+ICqDkVURERGqF5XsSeWR+DInpOcXOJ6Xn8Mj8GIcmsLfeeis7d+5k3rx57N+/n6VLl9K3b19SU1OtZV5++WUSExPZtWsXw4YN4+GHH2bRokWl1jdx4kRGjRp1yTYHDRpEYmIihw4d4tVXX+Xdd9/lmWeeAeDnn3/mzjvv5LbbbmPz5s1s27aNyZMnk5eXV6wOPz8/EhMTSUhIYMGCBezYsYObbrrJqZtDaNhABSo0mdkUn8q20waC4lPp2TxEX0OIiIg4iNlsJjuvwKayhSYzE5bGYi6tHsAATFwaR+/mwTb9v9vLzcXmDRLS0tL4/fffWb16NX369AGgUaNGdOvWrVg5X19fwsLCAHj11Vf54osv+Oabb7jjjjtsaufvinp4AYYPH86qVav45ptvmD17Nt9//z1XXnklzz77rLV8y5YtGTZsWLE6DAaDtY7w8HAmTJjAiBEj+PPPP2nVqlW54rpcSl4ryPI9iUz6Lu78v+Zc+OTAVsL9PZkwJIpBbcOdHZ6IiEiNcy6/kLYTV1ZIXWYgKSOHdhNX2FQ+7uXr8Ha3LY3y8fHBx8eHb775hh49euDh4WHTfZ6enuTn59tU1hZeXl7W+sLCwliwYAF79uyhbdu2dtUBVGhc9tKwgQrgzK8hREREpGpzdXVl7ty5zJs3j4CAAHr37s24cePYtWtXqeULCgqYO3cuu3fvpn///hUSw+bNm1mwYIG1vscee4yuXbvSrl07GjduzJ133slHH31Ebm7uRes4fvw4r7/+Og0aNKBly5YVEld5qOf1MhWazEz6Lu6SX0NM+i6OAVFhGkIgIiJSgbzcXIh7+Tqbym6OT2XUx1vKLDf3nq50axJoU9v2uPXWWxk8eDBr165lw4YNLF++nOnTpzNnzhzr2NXnnnuOF198kdzcXNzd3Xn22Wd56KGHAFi7di3XX3+9tb68vDzMZjNffvml9dy4ceMYN26c9f3333+Pj48PBQUF5OfnM3ToUGbNmgVAnTp1+OGHHzh48CCrVq1i48aNPP3008ycOZMNGzbg7e0NQHp6Oj4+PpYhGtnZdO7cma+++gp3d3e7Pn9FUvJ6mTbHp5bocb2QGUhMz2FzfCo9mwVVXmAiIiI1nMFgwNvdtiTyqhb1CPf3JCk9p9QOJwMQ5u/JVS3qOayzydPTkwEDBjBgwAD+85//cP/99zNhwgRr8vrss88yatQovL29CQ8PLzamtkuXLuzYscP6/q233uLEiRO89tpr1nOBgcWT7n79+jF79mzc3NyIiIjAzc2tREzNmjWjWbNm3H///YwfP56WLVuyaNEi7rnnHsAyDjcmJgaj0UhoaCh16tSpwJ9I+VSZYQNTp07FYDDw5JNPWs+ZzWYmTpxIREQEXl5e9O3bl9jYWOcFWYrkzIsnruUpJyIiIhXPxWhgwpAowJKoXqjo/YQhUZX6LWlUVFSxpauCg4Np3rw5ERERJSaDeXl50bx5c+sRGBiIr69viXMXqlOnDs2bN6dRo0alJq5/17hxY7y9vYvFZDQaad68OU2bNq0SiStUkeR1y5YtvP/++7Rv377Y+enTp/O///2Pt99+my1bthAWFsaAAQPIzMx0UqQlhfh6Vmg5ERERcYxBbcOZPaIzYf7F/58c5u/J7BGdHTbBOiUlhWuuuYb58+eza9cu4uPjWbx4MdOnT2fo0KEOabMsEydOZOzYsaxevZr4+Hi2b9/OvffeS35+PgMGDHBKTLZy+rCBs2fPctddd/HBBx/w6quvWs+bzWZmzJjB+PHjueWWWwCYN28eoaGhLFiwwDoGxNm6NQm06WsIW8bPiIiIiGMNahvOgKiwSt1hy8fHh+7du/Pmm29y8OBB8vPziYyM5IEHHig2RrUy9enTh3feeYd//etfnDx5krp169KpUydWrFjhtCWwbGUwm82l5VyVZuTIkQQGBvLmm2/St29fOnbsyIwZMzh06BDNmjUjJiaGTp06WcsPHTqUgIAA5s2bV2p9ubm5xWbKZWRkEBkZyenTp/Hz83PIZ/gp9iSPLdwJUCyBLfprMOvODlwXHeqQtqXy5Ofns3LlSgYMGGDT1y9SfejZ1kx6rjVPTk4Ox44do1GjRuTn5+Pr62vzWqvifDk5ORw+fJjIyEg8PYv3fmdkZBAcHEx6enqZ+ZpTe14XLlxITEwMW7aUnP2XlJQEQGho8aQvNDSUI0eOXLTOqVOnMmnSpBLnV6xYYZ055wj3tDTw1WEjaXl//SXycTNzexMThUe2seziIUs1s3JlxawpKFWPnm3NpOdac7i6uhIWFkZWVhbu7u5VahihlC0vL49z587x22+/UVBQfHOJ7Oxsm+txWvJ67NgxnnjiCVasWFEi+77Q3/9FZTabL/mvrBdeeIGnnnrK+r6o53XgwIEO63kFuAEYazKz8eApnv1iO6dyDLx0Uztu7hjhsDalcqkXp+bSs62Z9FxrnqKe1zp16qjntRrKycnBy8uLq6++utSeV1s5LXndtm0bycnJXHHFFdZzhYWF/Pbbb7z99tvs27cPsPTAhof/NYA6OTm5RG/shTw8PErducLNzc3h//FyA3q3CKG1v5lTOQb+PJWt/2DWQJXxuyTOoWdbM+m51hyFhYUYDAZrwmowGDAaq8Tcc7GB0WjEYDCU+nfSnr+jTnvi/fv3Z/fu3ezYscN6dOnShbvuuosdO3bQtGlTwsLCin3dk5eXx5o1a+jVq5ezwrZJ/TqWka9xCbb/K0JEREREyua0nldfX98Se+nWqVOHoKAg6/knn3ySKVOm0KJFC1q0aMGUKVPw9vZm+PDhzgjZZg3OJ6+xCellDnMQEREREds5famsSxk7diznzp1j9OjRnDlzhu7du7NixQp8fX2dHdolhXlbFkM+k51PUkYO4f5ezg5JREREpEaoUsnr6tWri703GAxMnDiRiRMnOiWe8nIzQrPgOuxPPktcQoaSVxEREZEKolHODtIm3NI7rHGvIiIiIhVHyauDRJ1PXmOVvIqIiIhUmCo1bKAmsfa8Jip5FRERqRLSjkF2ysWvewdBQGTlxSPlop5XB2kdZklej6Zmk5GT7+RoREREarm0Y/D2FfB+n4sfb19hKecAo0aNsq5R6+rqSsOGDXnkkUc4c+aMtUzjxo2tZby9vWnbti3vvfee9frcuXOt111cXKhbty7du3fn5ZdfJj09/bJj3L59O3fccQfh4eF4eHjQqFEjbrzxRr777jvMZstKSocPH7bGYDAY8PX1JTo6mkcffZQDBw5cdgy2UPLqIHW93Ynwt+we8Ueitq8TERFxquwUKMi9dJmC3Ev3zF6mQYMGkZiYyOHDh5kzZw7fffcdo0ePLlbm5ZdfJjExkV27djFs2DAefvhhFi1aZL3u5+dHYmIix48fZ/369Tz44IN88skndOzYkYSEhIu23bdvX+bOnXvR699++y09evTg7NmzzJs3j7i4OBYvXsywYcN48cUXSyTHP//8M4mJiezcuZMpU6awd+9eOnTowC+//FK+H44dNGzAgaIi/ElIzyEuIZ1uTQKdHY6IiEjNYjZDXpZtZQvO2V7OljrdvMHOddw9PDwICwsDoEGDBtxxxx0lEkpfX19rmVdffZUvvviCb775hjvuuAOwrMRUdD08PJw2bdowZMgQoqOjGTt2LPPnz7crJoCsrCzuu+8+Bg8ezFdffWU936xZM7p168b9999v7XktEhQUZI2jadOmDBkyhP79+3Pfffdx8OBBXFxc7I7DVkpeHSgqwo+f957UpC0RERFHyM+GaQ0qts6PBtlWblwCuNcpdzOHDh1i+fLlZW6L6unpSX7+pYcfhoSEcNddd/HRRx9RWFhod+K4YsUKUlJSGDt27EXLlLXhktFo5IknnuDmm29m27ZtdOvWza4Y7KFhAw4UFe4HaNKWiIiIwPfff4+Pjw9eXl40a9aMuLg4nnvuuVLLFhQUMHfuXHbv3k3//v3LrLt169ZkZmaSkmL/sIf9+/cD0KpVK+u5LVu24OPjYz2+//57m2IAy7hYR1LPqwNFR1iS1wMnz5JXYMLdVf9WEBERqTBu3pYeUFsk7bKtV/Xe5RDW3ra27dSvXz9mz55NdnY2c+bMYf/+/Tz22GPFyjz33HO8+OKL5Obm4u7uzrPPPstDDz1UZt1FX+sX9ZBOmTKFKVOmWK+fO3eOjRs3MmbMGOu5H3/8kauuuqrU+tq3b8+OHTsAaNGiBQUFBXbH4ChKXh2oQV0vfD1dycwp4OCps7Q53xMrIiIiFcBgsP2re1cbd7t09bqs4QCXUqdOHZo3bw7AW2+9Rb9+/Zg0aRKvvPKKtcyzzz7LqFGj8Pb2Jjw83OZEcO/evfj5+REUFATAww8/zD/+8Q/r9bvuuotbb72VW265xXqufv36gCU5Bdi3bx89evQALONzi2K11d69ewFo0qSJXffZS12BDmQwGKxDBzTuVURERC40YcIE3njjjWKrBAQHB9O8eXMiIiJsTlyTk5NZsGABw4YNw2i0pHaBgYE0b97cenh5eRESElLiHMDAgQMJDAzktddeK/dnMZlMvPXWWzRp0oROnTqVux5bKHl1sKjzQwe0TayIiIgTeQeBq8ely7h6WMpVkr59+xIdHV3s6/2ymM1mkpKSSExMZO/evXz00Uf06tULf39/pk2bVq44fHx8mDNnDj/88AODBw/mp59+4tChQ+zatYvp06cDlJgElpKSQlJSEocOHWLp0qVce+21bN68mQ8//NChKw2Ahg043F+Tti5/8WAREREpp4BIGLOtyu2w9dRTT3HPPfdcdOLW32VkZFiHE/j5+dGqVStGjhzJE088gZ9f+Ycn3nzzzaxfv57XXnuNf/3rX6SmpuLv70+XLl1YuHAhN954Y7Hy1157LQDe3t40atSIfv368f7779s91KA8lLw62IU9r2az2eGDmEVEROQiAiKdtv3rxTYIGD58OMOHDwfKnqU/atQoRo0aVa72V69eXWaZLl26sHjx4kuWady4cYk1Xyubhg04WIsQX9xcDGTkFHAizcYFkkVERESkVEpeHczd1UiLEF9Ak7ZERERELpeS10qgSVsiIiIiFUPJayXQTlsiIiIiFUPJayVQz6uIiIhIxVDyWgmKktcTaedIy85zcjQiIiIi1ZeS10rg5+lGZKBlFwsNHRAREREpPyWvlcQ67lVDB0RERETKTclrJYkK9wfU8yoiIiJyOZS8VhJN2hIRERG5fEpeK0n0+eT1z+Sz5BYUOjkaERGR2m1DwgaGfjOUDQkbKqW9UaNGYTAYMBgMuLq60rBhQx555BHOnDljLdO4cWNrGW9vb9q2bct7771nvV5YWMjUqVNp3bo1Xl5eBAYG0qNHDz7++ONS23Fzc6Np06Y888wzZGVlXTS2iRMn0rFjxxLnDx8+jMFgYMeOHcXel3Zs3Ljx8n9INnKttJZquXB/TwK83UjLzufAybO0re/v7JBERERqJbPZzMyYmRxKP8TMmJn0CO+BwWBweLuDBg3i448/pqCggLi4OO69917S0tL4/PPPrWVefvllHnjgAc6ePcvcuXN5+OGHCQgI4I477mDixIm8//77vP3223Tp0oWMjAy2bt1aLAG+sJ38/HzWrl3L/fffT1ZWFrNnz66Qz/Hzzz8THR1d7FxQUFCF1G0LJa+VxGAwEBXux/qDKcQlZCh5FRERuUxms5ns/Gy779uYsJHYlFgAYlNiWXV0FT0iethVh5erl90Jr4eHB2FhYQA0aNCAO+64g7lz5xYr4+vray3z6quv8sUXX/DNN99wxx138N133zF69Ghuv/12a/kOHTpcsp3hw4ezatUqvvnmmwpLXoOCgqz1O4OS10pkTV41aUtEROSynSs4R8+FPS+7nidWP2H3PZuGb8LbzbvcbR46dIjly5fj5uZ2yXKenp7k5+cDEBYWxq+//sro0aOpV6+ezW15eXlZ66gJlLxWouj6lnGvsQnpTo5EREREKtv333+Pj48PhYWF5OTkAPC///2v1LIFBQXMnz+f3bt388gjj1jL3nbbbYSFhREdHU2vXr0YOnQo119//UXb3Lx5MwsWLKB///6XjG337t34+PgUO2c2m0st26tXL4zG4tOm0tPTcXFxuWQbFUXJayUqWi5rb2ImJpMZo9Hx42tERERqKi9XLzYN32RzebPZzD0/3cO+M/swmU3W80aDkVZ1W/HxdR/bPBTAy9XL7nj79evH7Nmzyc7OZs6cOezfv5/HHnusWJnnnnuOF198kdzcXNzd3Xn22Wd56KGHAIiKimLPnj1s27aN33//nd9++40hQ4YwatQo5syZY62jKEkuKCggPz+foUOHMmvWLI4ePUpUVJS13Lhx4xg3bhwArVq1YunSpcViOXHiBH379i3xORYtWkSbNm2KnausxBWUvFaqpvXq4O5q5GxuAcfOZNMoqI6zQxIREam2DAaDXV/drzuxjr2pe0ucN5lN7E3dy45TO+hdv3dFhlhMnTp1aN68OQBvvfUW/fr1Y9KkSbzyyivWMs8++yyjRo3C29ub8PDwEsm00Wika9eudO3alX//+9/Mnz+fu+++m/Hjx9OkSRPgryTZzc2NiIgI69CEgoIC68oBAIGBgdbX7u7u1tiKuLqWniZGRkaWKFuZtFRWJXJzMdIq1BfQeq8iIiKVyWw2M2v7LAyU3rNqwMCs7bMu+lW5I0yYMIE33niDhIQE67ng4GCaN29ORESETb3ART2pFy6FVZQkN2rUqNiYWldXV5o3b249LkxeqxMlr5XMuk2sJm2JiIhUmnxTPklZSZgpPTk1YyYpK4l8U+VNbOrbty/R0dFMmTLFpvK33XYbb775Jps2beLIkSOsXr2aRx99lJYtW9K6dWsHR/uXlJQUkpKSih1FY3grg4YNVLLo+n6wFWLV8yoiIlJp3F3cWXjjQlJzUi9aJtAzEHcX90qMCp566inuuecennvuuTLLXnfddXz++edMnTqV9PR0wsLCuOaaa5g4ceJFv+J3hGuvvbbEuc8//5w777yzUtpX8lrJrD2vSl5FREQqVVidMMLqOGd90r+v51pk+PDhDB8+HLDsYHUpDzzwAA888EC52rmUiRMnMnHixBLnGzduXGwYxd/fO4uGDVSy1ueT16SMHFLO5jo5GhEREZHqRclrJfPxcKVxkGVm5N7ETCdHIyIiIlK9KHl1gugIy3qv2qxARERExD5KXp0gKkIrDoiIiIiUh5JXJ9CkLRERkfKrCpOGxH4V9dyUvDpBUc/rwVNnyckvdHI0IiIi1UPRgvvZ2dlOjkTKo+i5XbhxQnloqSwnCPH1IKiOOylZeexLyqRDZICzQxIREanyXFxcCAgI4NSpU/j6+uLm5oaLi4uzw5IymM1msrOzSU5OJiAg4LKfmZJXJzAYDERF+LH2wGliEzKUvIqIiNgoLCyMwsJCEhMTyczMtGkLVakaAgICCAu7/HV2lbw6SVHyGpeoFQdERERsZTAYCA0NJSYmhmuuuaZSd5aS8qvIXnI9cSfRpC0REZHyM5vNeHh4XPb4Sal+NGHLSaLPT9r6IymTQpNmTYqIiIjYQsmrkzQJ9sHTzUh2XiGHU7KcHY6IiIhItaDk1UlcjAZah2nogIiIiIg9lLw6kXbaEhEREbGPklcn0qQtEREREfsoeXUi9byKiIiI2EfJqxO1CfPDaIBTmbkkZ+Y4OxwRERGRKk/rvFaEtGOQnWJ5XVCAf/ZhSNwJRQsnewdBQGSJ27zcXWgSXIeDp7KIS8ggpJVn5cUsIiIiUg0peb1cacfg7SugIBcAN6AvwL4Lyrh6wJhtpSawURH+luQ1MYO+rUIqIWARERGR6supwwZmz55N+/bt8fPzw8/Pj549e/Ljjz9ar48aNQqDwVDs6NGjhxMjLkV2ijVxvaiC3L96Zv9Gk7ZEREREbOfUntcGDRowbdo0mjdvDsC8efMYOnQo27dvJzo6GoBBgwbx8ccfW+9xd3d3SqyOUrTTlpJXERERkbI5NXkdMmRIsfeTJ09m9uzZbNy40Zq8enh4EBYW5ozwKkWb8z2v8SlZZOUWUMdDIzlERERELqbKZEqFhYUsXryYrKwsevbsaT2/evVqQkJCCAgIoE+fPkyePJmQkIuPDc3NzSU396+v8TMyLD2a+fn55OfnV3zgBQW42VAsv6AASmk/wNNIiK8HyZm5xB4/Q6eGARUeolSMot8fh/weiVPp2dZMeq41l55tzWPPszSYzWazA2Mp0+7du+nZsyc5OTn4+PiwYMECbrjhBgAWLVqEj48PjRo1Ij4+npdeeomCggK2bduGh4dHqfVNnDiRSZMmlTi/YMECvL29Kzx+/+zD9N33nzLLrW71MunejUu99n97jexNM3J7k0KuDHPq4xARERGpdNnZ2QwfPpz09HT8/PwuWdbpyWteXh5Hjx4lLS2NJUuWMGfOHNasWUNUVFSJsomJiTRq1IiFCxdyyy23lFpfaT2vkZGRnD59uswfRrkk7sTto/5lFsu/9xcI71Dqtf+uPMD//RbPHV0a8OrQkp9bqob8/HxWrlzJgAEDcHOzpb9dqgs925pJz7Xm0rOteTIyMggODrYpeXX6sAF3d3frhK0uXbqwZcsWZs6cyXvvvVeibHh4OI0aNeLAgQMXrc/Dw6PUXlk3NzfH/IK72vYjdHN1hYu0365BXSCeP5Iy9ZewGnDY75I4nZ5tzaTnWnPp2dYc9jzHKrfDltlsLtZzeqGUlBSOHTtGeHh4JUd1Cd5BlnVcL8XVw1LuIoq2if0jKZOCQlNFRiciIiJSozi153XcuHFcf/31REZGkpmZycKFC1m9ejXLly/n7NmzTJw4kVtvvZXw8HAOHz7MuHHjCA4O5uabb3Zm2MUFRFo2IDi/jmt+QQEZCx8iKPtP6P0kRN980R22ijQK9Mbb3YXsvELiT2fRItS3koIXERERqV6cmryePHmSu+++m8TERPz9/Wnfvj3Lly9nwIABnDt3jt27d/PJJ5+QlpZGeHg4/fr1Y9GiRfj6VrHkLiDyr+Q0P59Tfm0tyevZZIjoWObtRqOBNuF+bDtyhrjEDCWvIiIiIhfh1OT1ww8/vOg1Ly8vfvrpp0qMpuKc8W5meXFim833RBUlrwkZDO1Y30GRiYiIiFRvVW7Ma02Q5t3E8uL0fshJt+meop22YrXTloiIiMhFKXl1gDw3P8wBjQAzJOyw6Z6iSVtxiRk4efUyERERkSpLyauDmCM6WV7YOHSgZagvLkYDqVl5nMwofbUFERERkdpOyauDmCM6W17YmLx6urnQrF4dAOISbRtqICIiIlLbKHl1kL+S1xib74mO8Acg9oTGvYqIiIiURsmrg5hD24HBBTITICPBpnuiwv8a9yoiIiIiJSl5dRT3OhASZXlt49CBCydtiYiIiEhJSl4dqb59417bnO95PZKSTWZOvqOiEhEREam2lLw6Uv0rLH/amLwG1nEn3N8TgD+SMh0VlYiIiEi1peS1gm1K2sTMjJlsStp0QfK6HUwmm+63blZwQisOiIiIiPydktcKZDabmbVjFqdMp5i1Yxbm4Fbg5g15mZBywKY6NGlLRERE5OKUvFag9QnriUuNAyAuNY71JzeDnZsVaNKWiIiIyMUpea0gZrOZWdtnWd8bMTJr+yy7d9qKCres9bo/6Sz5hbYNNRARERGpLZS8VpD1CeuJTYm1vjdhIjYllvW+lmTU1uQ1MtALXw9X8gpN/Jl81hGhioiIiFRbSl4rQFGvq9FQ/MdpNBiZdWojZoCkPZCfU2ZdBoOBNkVDBxI0dEBERETkQkpeK0BRr6vJXPxrfpPZRGzaAdbXDQVTPpzcY1N9mrQlIiIiUjolr5epqNfVgKHU6wYMzArwt/S+2jtpSz2vIiIiIsUoeb1M+aZ8krKSMFvS0xLMmEkyQj7A8a021Xlhz6vZXHq9IiIiIrWRq7MDqO7cXdxZeONCUnNSASgoKGDcynEcKTzCqOhRXN/kegKT4nA/eJ/NPa8tQ31xczGQfi6fE2nnaFDX25EfQURERKTaUPJaAcLqhBFWJwyA/Px8mro25UjhEVJzUokKigIvyzVSD0J2KngHXrI+d1cjzUN82ZuYQVxChpJXERERkfM0bMAB6rvWByD29Pmls7wDIbCp5XXCdpvq0KQtERERkZKUvDpAfRdL8noo/RDZ+dnnT15h+fNEjE11aNKWiIiISElKXh3A1+hLiFcIZszsTd1rOWlNXm0b9xp9PnmNVfIqIiIiYqXk1UGig6IB2HP6/Nqu9btY/jyxDWxYQaDN+WEDJ9LOkZ6d75AYRURERKobJa8O0iawDcBfW8aGtQOjK2QlQ/rxMu/393KjQV0vQONeRURERIooeXWQqMAoAOJS4iwn3DwhtK3lta2bFWjSloiIiEgxSl4dpKjn9UjGETLyziefdo571aQtERERkeKUvDpIXc+61PexrDqwN+Xvk7ZsW3EgOsIfgNiE9AqPT0RERKQ6UvLqQCUnbZ1PXhO2g6mwzPuLel7/TD5LbkHZ5UVERERqOiWvDhQdbElerZO2gluAuy/kZ8GpP8q8P8LfE38vNwpMZg6cPOvIUEVERESqBSWvDlTU82qdtGV0gYiOltc2jHs1GAyatCUiIiJyASWvDtQmyDJp68TZE5zJOWM5Wc7NCjRpS0RERETJq0P5ufvRyK8RcEHvq1YcEBERESk3Ja8OdtFJWyfjIC+7zPutyWtiBiZT2TtziYiIiNRkSl4drCh5tU7a8q8PvuFgLoSkXWXe36yeD+4uRs7mFnD8zDlHhioiIiJS5Sl5dbASKw6AXUMH3FyMtAzzASAuUeu9ioiISO2m5NXB2gS2wYCB5OxkTmWfspys39nyp62TtsKLNivQuFcRERGp3ZS8Opi3mzdN/ZsCmrQlIiIicrmUvFaCoqEDe1LOT9qK6GT588xhyEop8/4LJ22JiIiI1GZKXiuBddLW6fPjXj39Ibil5XVCTJn3tw7zBSAxPYfUrDyHxCgiIiJSHSh5rQQXTtoym88vd1U0dOD41jLv9/V0o3GQN6ChAyIiIlK7KXmtBK3qtsLF4EJqTions09aTpZ33KtWHBAREZFaTMlrJfB09aR5QHPggqEDF644YC5784GocE3aEhEREVHyWknaBrcFLljvNbQtuLjDuVTLxK0yaNKWiIiIiJLXShMVFAVcsE2sqweEtbO8tmHoQNT5tV4PnsoiJ7/QITGKiIiIVHVKXivJJSdtnSh7xYFQPw+C6rhTaDKzLynTUWGKiIiIVGlKXitJi4AWuBndyMjL4PjZ45aT9btY/rSh59VgMGjogIiIiNR6Sl4ribuLOy3rWtZ2tY57Lep5TdwJhfll1qFJWyIiIlLbKXmtREWTtuJOn98mNrCpZcOCgnOQvLfM+9XzKiIiIrWdktdKVLTTlnWbWKMRIi5YMqsMRT2vexMzKDSVvbyWiIiISE2j5LUSFa04EJcSh8lsspy0Y7OCpvV88HQzkp1XyJGULEeFKSIiIlJlKXmtRM0CmuHh4kFWfhZHMo5YTtqRvLoYDbQK09ABERERqb2UvFYiV6MrrQNbAxdO2jo/bCB5L+SWvQSWJm2JiIhIbabktZJZd9oq2ibWNwz8GgBmy6oDZdCkLREREanNnJq8zp49m/bt2+Pn54efnx89e/bkxx9/tF43m81MnDiRiIgIvLy86Nu3L7GxsU6M+PIVTdqy9rzCX72vNgwdiD6fvMaq51VERERqIacmrw0aNGDatGls3bqVrVu3cs011zB06FBrgjp9+nT+97//8fbbb7NlyxbCwsIYMGAAmZnVd4epouT1j9Q/KDAVWE7aMe61dZgvBgOcyswlOTPHUWGKiIiIVElOTV6HDBnCDTfcQMuWLWnZsiWTJ0/Gx8eHjRs3YjabmTFjBuPHj+eWW26hbdu2zJs3j+zsbBYsWODMsC9LI79GeLt6c67gHPHp8ZaTdmwT6+3uSpPgOgDsTay+SbyIiIhIebg6O4AihYWFLF68mKysLHr27El8fDxJSUkMHDjQWsbDw4M+ffqwfv16HnrooVLryc3NJTc31/o+I8Py9Xp+fj75+WXvYnW5itq4VFutA1sTkxzDruRdNPZpDPWiccWAIf0Y+WeOg0/oJdtoE+rLoVNZ7D52hl5NAiowerkUW56tVE96tjWTnmvNpWdb89jzLJ2evO7evZuePXuSk5ODj48PX3/9NVFRUaxfvx6A0NDiiVxoaChHjhy5aH1Tp05l0qRJJc6vWLECb2/vig3+ElauXHnRa17nvAD4MeZHXP+wPIJ+nvXxyznOtu/mcNK/0yXrNmQYABd+idlH5Nmyd+aSinWpZyvVm55tzaTnWnPp2dYc2dnZNpd1evLaqlUrduzYQVpaGkuWLGHkyJGsWbPGet1gMBQrbzabS5y70AsvvMBTTz1lfZ+RkUFkZCQDBw7Ez8+v4j/A3+Tn57Ny5UoGDBiAm5tbqWVcDruwbv06snyzuOG6GyznTD/Bzs/oGm7E1PeGS7bhe+A0338SQ7rBhxtuuLLCP4OUzpZnK9WTnm3NpOdac+nZ1jxF35TbwunJq7u7O82bNwegS5cubNmyhZkzZ/Lcc88BkJSURHh4uLV8cnJyid7YC3l4eODh4VHivJubW6X+gl+qvfah7QHYf2Y/GMHNxQ0iu8DOz3BJ2o5LGXG2iwwEID4lm3yzAW93pz/GWqWyf5ek8ujZ1kx6rjWXnm3NYc9zrHLrvJrNZnJzc2nSpAlhYWHFvhLIy8tjzZo19OrVy4kRXr5I30h83XzJM+XxZ9qflpMXrjhgNl/y/nq+HtTz9cBshj+SNGlLREREag+nJq/jxo1j7dq1HD58mN27dzN+/HhWr17NXXfdhcFg4Mknn2TKlCl8/fXX7Nmzh1GjRuHt7c3w4cOdGfZlMxgMRAVHARes9xoSBa6ekJMOKQfLrEM7bYmIiEht5NTk9eTJk9x99920atWK/v37s2nTJpYvX86AAQMAGDt2LE8++SSjR4+mS5cunDhxghUrVuDr6+vMsCtE26DzO20VJa8ubhDewfJamxWIiIiIlMqpgyU//PDDS143GAxMnDiRiRMnVk5AlSg6+PxOW6cv3GnrCji2yZK8drjjkvdrm1gRERGpjarcmNfaominrQNnDpBbeH5dWjt22ioaNvBHYgYFhSaHxCgiIiJS1Sh5dZLwOuHU9ahLgbmA/an7LSfrd7b8mbQLCvIueX+joDp4u7uQW2DicEqWg6MVERERqRqUvDpJqZO26jYBr7pQmAcn91zyfhejgdZhlrG/GvcqIiIitYWSVycqMWnLYLBr6EB0hD+gFQdERESk9lDy6kRF4173nL6gl9WavMaUeb8mbYmIiEhto+TViYpWHDiUfojs/PN7+tbvYvnTjklbcQkZmMvY2EBERESkJlDy6kQh3iHU86qHyWxi35l9lpNFk7ZO77dsWHAJrcJ8cTEaSMnKIzkz18HRioiIiDifklcnKxo6YF3vtU4wBDQCzJCw45L3erq50KxeHcv9CZdOdEVERERqAiWvTmbdrCDlb5sVgN1DB0RERERqOiWvTnbpSVs2JK+atCUiIiK1iJJXJ4sKsqz1ejjjMGfzzlpO2tXzquWyREREpPZQ8upkQV5BhNcJB2Bv6l7LyfD2YHCBzETISLjk/UU9r4dTslm05SgbDqZQaNLKAyIiIlIzKXmtAtoGn9+soGjSlnsdCLH0yJbV+7o5PgWjwfL6uSW7+ecHG7nytV9ZvifRUeGKiIiIOI2S1yqgaOhA8Ulb55fMukTyunxPIo/Mj+HvHa1J6Tk8Mj9GCayIiIjUOEpeqwDrcll2rDhQaDIz6bs4ShsgUHRu0ndxGkIgIiIiNYrdyWtMTAy7d++2vv/2228ZNmwY48aNIy8vr0KDqy2Kel6PZR4jPff8eq3W5HU7mEwl7tkcn0pies5F6zQDiek5bI5PrehwRURERJzG7uT1oYceYv/+/QAcOnSIO++8E29vbxYvXszYsWMrPMDawN/Dn0jfSOCC3teQNuBWB/IyIeVAiXuSMy+euJannIiIiEh1YHfyun//fjp27AjA4sWLufrqq1mwYAFz585lyZIlFR1frdE2yDJpKy4lznLC6AIRHS2vSxk6EOLraVO9tpYTERERqQ7sTl7NZjOm819j//zzz9xwww0AREZGcvr06YqNrhax7rR12rZJW92aBBLu74nhIvUZgHB/T7o1CazYQEVEREScyO7ktUuXLrz66qt8+umnrFmzhsGDBwMQHx9PaGhohQdYW5S+4sDFJ225GA1MGGK552IJ7IQhUbgYL3ZVREREpPqxO3l98803iYmJYcyYMYwfP57mzZsD8OWXX9KrV68KD7C2aBPYBgMGErMSSTmXYjlZlLwm7YH8kmNXB7UNZ/aIzoT5Fx8a4Go08O5dnRnUNtzRYYuIiIhUKld7b+jQoUOx1QaKvP7667i62l2dnOfj7kNj/8bEp8cTmxLL1Q2uBv9IqFMPsk5B0m6I7FrivkFtwxkQFcbm+FSOpGYx4dtYcgtM+Hu5OeFTiIiIiDiW3T2vTZs2JSUlpcT5nJwcWrZsWSFB1VZFk7asQwcMhjLXewXLEIKezYK4s2tD/tHFsmrB3PWHHRmqiIiIiFPYnbwePnyYwsLCEudzc3M5fvx4hQRVWxVN2oo7HffXSRuS1wuN7NUIgJ/3nuT4mewKjU9ERETE2Wz+nn/p0qXW1z/99BP+/v7W94WFhfzyyy80adKkYqOrZUrfaavsbWIv1DzElyubB/P7n6f5dOMRXri+TUWHKSIiIuI0Nievw4YNA8BgMDBy5Mhi19zc3GjcuDH//e9/KzS42qZVYCuMBiOnzp3iZNZJQuuEQsT55DX1IGSngnfZS1+N7NWY3/88zaItx3iyf0u83F0cHLmIiIhI5bB52IDJZMJkMtGwYUOSk5Ot700mE7m5uezbt48bb7zRkbHWeF6uXjQLaAZc0PvqHQiBTS2vE7bbVM81rUNoUNeLtOx8vt1xwhGhioiIiDiF3WNe4+PjCQ4OdkQsQimTtuCCca8xNtXhYjTwr56Wsa9z1x/GbDZXaIwiIiIizmJ38gqwZs0ahgwZQvPmzWnRogU33XQTa9eurejYaqXSx712sfxp47hXgH90icTTzcgfSZlsjk+tyBBFREREnMbu5HX+/Plce+21eHt78/jjjzNmzBi8vLzo378/CxYscESMtcqFKw5Ye0wvXHHAxl7UAG93bu7UAIB5Gw5XdJgiIiIiTmF38jp58mSmT5/OokWLePzxx3niiSdYtGgR06ZN45VXXnFEjLVKy7otcTW6cib3DAlZCZaTYe3A6ApZyZBu+3JkRctm/RR7koS0c44IV0RERKRS2Z28Hjp0iCFDhpQ4f9NNNxEfH18hQdVm7i7utAhoAUDs6fNDB9w8IdQyFpYTW22uq3WYHz2aBlJoMvPZpiMVHaqIiIhIpbM7eY2MjOSXX34pcf6XX34hMjKyQoKq7doGX2rSlu3jXgFG9WoMwOebj5GTX3JzCREREZHqxOZ1Xos8/fTTPP744+zYsYNevXphMBj4/fffmTt3LjNnznREjLVOdFA0i1lcMnnd+qHNKw4UubZNKBH+niSk5/D9rkRuu6JBBUcrIiIiUnnsTl4feeQRwsLC+O9//8sXX3wBQJs2bVi0aBFDhw6t8ABro79P2jIYDH/1vCZsh8ICcLHt0bm6GBnRsxHTl+9j7vp4bu1c31KfiIiISDVkd/IKcPPNN3PzzTdXdCxyXrOAZrgb3cnMz+Ro5lEa+TWC4Bbg7gt5mXB6H4RG21zfnV0bMuPnA+w5kUHM0TNc0ajsXbpEREREqqJyrfMqjuVmdKN1YGvggklbRheI6Gh5bee418A67gztEAHA3PWauCUiIiLVl03Ja926dQkMDLTpkIpRNHSgIiZtAYw8P3Hrx92JnMzIudzwRERERJzCpmEDM2bMcHAY8nel77RV/uS1bX1/ujauy5bDZ/hs01GeGtCyIsIUERERqVQ2Ja8jR450dBzyN0XJ696UvRSaCnExuvyVvJ6Mg7xscPe2q86RvRqz5fAZFmw6yph+zXF31agRERERqV5szl5MJhMFBQXFzp08eZJJkyYxduxYfv/99woPrjZr4t8EL1cvsguyOZxx2HLSvz74hoO5EJJ22V3nddFhhPl5cvpsLst2J1ZswCIiIiKVwObk9b777mP06NHW95mZmXTt2pV33nmHn376iX79+rFs2TKHBFkbuRhdaBPYBqi4oQNuLkbu6t4QgLnrD19uiCIiIiKVzubkdd26ddx2223W95988gkFBQUcOHCAnTt38tRTT/H66687JMjayjpp6/SFyWtny5/Hbd8m9kL/7N4QdxcjO46lseNY2mVGKCIiIlK5bE5eT5w4QYsWLazvf/nlF2699Vb8/f0By7jY2NjYi90u5VDRk7YAgn08uLF9OADz1PsqIiIi1YzNyaunpyfnzp2zvt+4cSM9evQodv3s2bMVG10tV5S8/pH6BwWm8+ONIzpZ/kw7Almny1Vv0bJZ3+9K4FRm7uWGKSIiIlJpbE5eO3TowKeffgrA2rVrOXnyJNdcc431+sGDB4mIiKj4CGuxhn4N8XHzIbcwl4NpBy0nPf0h+PwyVydiylVvh8gAOkYGkF9o5vPNRysoWhERERHHszl5femll5gxYwbNmjXjuuuuY9SoUYSHh1uvf/311/Tu3dshQdZWRoORqKAooGKHDgDc07sxAJ9tOkJ+oanc9YiIiIhUJpuT1379+rFt2zYef/xxPv74Yz744INi1zt27Mi///3vCg+wtit90tblJ6/Xtw2nnq8HJzNyWb4n6XJCFBEREak0Nm1SUCQqKoqoqKhSrz344IMVEpAUV/qkrfMrDpzYBmYzGAx21+vuamR4t4bM/OUA89YfZkgHDfkQERGRqk9bLFVxRcnrvjP7yCvMs5wMbQsu7nAuFc4cLnfdd3VviKvRwNYjZ9hzIr0CohURERFxLCWvVVx9n/r4e/hTYCrgQNoBy0lXDwhrZ3l9GUMHQvw8uaGdls0SERGR6kPJaxVnMBj+GjpQ6rjX8q04UKRo2axvdyaQmpV3WXWJiIiIOJqS12qg9HGvXSx/XkbPK0DnhgG0q+9PXoFJy2aJiIhIlVeu5DUtLY05c+bwwgsvkJqaCkBMTAwnTpyo0ODE4pIrDiTuhML8ctdtMBisva+fbTxCgZbNEhERkSrM7uR1165dtGzZktdee4033niDtLQ0wLLO6wsvvGBXXVOnTqVr1674+voSEhLCsGHD2LdvX7Eyo0aNwmAwFDsu3NmrNijqef0z7U9yCnIsJwObWjYsKDgHyXGXVf+N7cMJquNOQnoOK+NOXm64IiIiIg5jd/L61FNPMWrUKA4cOICnp6f1/PXXX89vv/1mV11r1qzh0UcfZePGjaxcuZKCggIGDhxIVlZWsXKDBg0iMTHReixbtszesKu1UO9QgjyDKDQXsu/M+eTeaISIC5bMugyebi78s1tDAOZq4paIiIhUYXYnr1u2bOGhhx4qcb5+/fokJdm32P3y5csZNWoU0dHRdOjQgY8//pijR4+ybVvxZMzDw4OwsDDrERgYaG/Y1ZrBYLAOHdhzes9fFypgs4Iid/VoiIvRwKb4VPYmZlx2fSIiIiKOYNcmBQCenp5kZJRMbvbt20e9evUuK5j0dMtao39PTlevXk1ISAgBAQH06dOHyZMnExISUmodubm55ObmWt8XxZqfn09+fvnHhtqqqI2KbqtN3Tb8dvw39pzaQ35zS92GsA64Aubj2yi4zPaCvV0Z2CaEH2NPMnfdIV4dGl0BUdcsjnq24nx6tjWTnmvNpWdb89jzLA1ms9lsT+UPPvggp06d4osvviAwMJBdu3bh4uLCsGHDuPrqq5kxY4a98QJgNpsZOnQoZ86cYe3atdbzixYtwsfHh0aNGhEfH89LL71EQUEB27Ztw8PDo0Q9EydOZNKkSSXOL1iwAG9v73LFVhXsy9/Hp1mfEmIM4XG/xwHwyE9j0J7HMWNgWfv/o8DF67LaOJgBb8W64mY0M6lzIXXcKiJyERERkUvLzs5m+PDhpKen4+fnd8mydievGRkZ3HDDDcTGxpKZmUlERARJSUn07NmTZcuWUadOnXIF/eijj/LDDz/w+++/06BBg4uWS0xMpFGjRixcuJBbbrmlxPXSel4jIyM5ffp0mT+MipCfn8/KlSsZMGAAbm4Vl/2dPneagV8PxICBtbevxdvNkoi7zuqAIeMEBSO+xdyo92W1YTabuendjfyRlMlz17Xk/isbV0DkNYejnq04n55tzaTnWnPp2dY8GRkZBAcH25S82j1swM/Pj99//51ff/2VmJgYTCYTnTt35tprry13wI899hhLly7lt99+u2TiChAeHk6jRo04cOBAqdc9PDxK7ZF1c3Or1F/wim4v3C2cUO9QTmaf5M/MP7ki9Px41/pXQMYJXE/uhOZ9L7ude3o35rklu/ls8zEe7NMcF6PhsuusaSr7d0kqj55tzaTnWnPp2dYc9jxHu5PXItdccw3XXHNNeW8HLD19jz32GF9//TWrV6+mSZMmZd6TkpLCsWPHCA8Pv6y2q6PooGhOZp9kz+k9xZPXvUsrZNIWwNCO9Zn64x8cP3OOX/aeZGB0WIXUKyIiIlIRypW8bt68mdWrV5OcnIzJVHxR+//973821/Poo4+yYMECvv32W3x9fa2rFfj7++Pl5cXZs2eZOHEit956K+Hh4Rw+fJhx48YRHBzMzTffXJ7Qq7W2wW359divf9tpq2K2iS3i6ebCHV0jeW/NIeZtOKzkVURERKoUu5PXKVOm8OKLL9KqVStCQ0MxGP76WvnC17aYPXs2AH379i12/uOPP2bUqFG4uLiwe/duPvnkE9LS0ggPD6dfv34sWrQIX19fe0Ov9oo2K4hLOb8pQdoxMLpYXqcfgz9/Be8LVmrwDoKASLvbubtHIz747RDr/kzhwMlMWoTWvp+1iIiIVE12J68zZ87ko48+YtSoUZfdeFlzxby8vPjpp58uu52aIiooCoAjGUfIOLUXv/f6QMFfk9OY/7feaFcPGLPN7gS2QV1vBkSF8lPsSeZtOMyrw9pdbugiIiIiFcLuTQqMRiO9e1/erHYpnwDPAOr71Adg78mY4olraQpyITulXG2N7NUYgK9iTpCRo3X0REREpGqwO3n997//zTvvvOOIWMQGRUMH9qTHO7Sdnk2DaBXqS3ZeIYu3HndoWyIiIiK2snvYwDPPPMPgwYNp1qwZUVFRJZY2+OqrryosOCmpbXBbVhxZQWzGIYe2YzAY+FevRoz/eg+fbjjMPb0aY9SyWSIiIuJkdve8PvbYY6xatYqWLVsSFBSEv79/sUMcyzppK8OxPa8AN3eqj5+nK4dTslmz/5TD2xMREREpi909r5988glLlixh8ODBjohHytAmqA0AJ3JOc8ZopO7fliqrSN7urvyjSyRzfo/n4/WH6dc6xGFtiYiIiNjC7p7XwMBAmjVr5ohYxAa+7r409msMQJyHu8Pb+1fPxhgM8Nv+Uxw8ddbh7YmIiIhcit3J68SJE5kwYQLZ2dmOiEdsULRk1h5bkteyViQoQ8Mgb/qf73H9dMORy6pLRERE5HLZnby+9dZb/Pjjj4SGhtKuXTs6d+5c7BDHaxvcFoBYD8+yC//2GpgKL6u9omWzvtx2nLO5BZdVl4iIiMjlsHvM67BhwxwQhtijaNJWbGB9GLq49EIJ22HZs/DnL/DTOBg0DezcAa3Ilc2DaVavDgdPZbFk23FrMisiIiJS2exOXidMmOCIOMQOrQNbYzQYSc5J4VRAfep51ytZKKIjePjCkvtg0/+BfyT0GlOu9gwGAyN7NeY/38Yyb8Nh7u7RSMtmiYiIiFPYPWxAnM/bzZum/k0BiEuJu3jBdrfBwFctr1eMhz1Lyt3mLZ0b4OPhyqFTWfz+5+ly1yMiIiJyOWxKXgMDAzl92pKw1K1bl8DAwIseUjmsk7ZS9ly6YM8x0P1hy+uvH4bDv5erPR8PV267ogEA89YfLlcdIiIiIpfLpmEDb775Jr6+vgDMmDHDkfGIjdoGt2XpwaXEno69dEGDAa6bAhknYO93sHA43PsThLSxu81/9WzE3PWH+XVfMkdSsmgUVKec0YuIiIiUj03J68iRI7nmmmv46quvGDlypKNjEhtYJ22lxGI2mzFcajKW0QVu+QA+GQrHNsH82+D+n8Ev3K42m9bzoU/LeqzZf4pPNhzhpRujLucjiIiIiNjN5jGvq1evJi8vz5GxiB1a1m2Jq8GV1JxUTmafLPsGNy/450IIagEZx+Gz2yEnw+52R51faeCLrcfI0rJZIiIiUsk0Yaua8nT1pHnd5gBlDx0o4h0II76EOiFwcjd8cTcU2PcPkj4t69E4yJvMnAK+3n7C3rBFRERELotdyWtmZiYZGRmXPKTyFA0dKHPS1oXqNoa7vgC3OnBoNSx9DMxmm283Gg38q2djAOatj2fDwdN8u+MEGw6mUGiyvR4RERGR8rBrndeWLVte9FrRuMvCwsvbzUlsFx0czZIDS2zveS0S0Qn+MQ8W3AG7FoJ/A+j/ks2339alAdOW/8GB5Cz++cEm6/lwf08mDIliUFv7xtKKiIiI2Mqu5PXLL7/UclhViF2Ttv6uxQAYMsPS87r2DfCvD13utenW9X+eJq/AVOJ8UnoOj8yPYfaIzkpgRURExCHsSl579+5NSEiIo2IRO7UIaIGb0Y2MvAyOnz1OpG+kfRV0/hekn4A10+CHp8E3AloNuuQthSYzk74rfWMEM2AAJn0Xx4CoMFy0C5eIiIhUME3YqsbcXNxoVbcVYOl9LZe+z0OnEWA2wZf3wPFtlyy+OT6VxPSci143A4npOWyOTy1fPCIiIiKXYHPy2qhRI1xcXBwZi5RDdLBl6EDc6UtsE3spBgPcOAOaXwv52bDgH5By8KLFkzMvnriWp5yIiIiIPWxOXuPj4wkKCnJkLFIO5Vpx4O9c3OD2eRDeAbJPw2e3QdbpUouG+HraVKWt5URERETsoWED1Zy15zUlDpO55CQqm3n4wPDFENAQUg9ZViLIyy5RrFuTQML9PbnUaNZwf0+6NdHEPhEREal4Sl6ruab+TfF08SQrP4vBXw1mQ8KG8lfmGwp3LQHPADixFZbcB6biS5+5GA1MGGLZFvZiCeyDVzfVZC0RERFxCCWv1Zyr0dU6aev42ePMjJmJ2Y5NB0qo1xKGLwIXD9i3DJY9W2ITg0Ftw5k9ojNh/sWHBri5WBLWD3+P51RmbvljEBEREbkIu5bKkqop0Ouvr+hjU2JZn7Ce3vV7l7/Chj3g1g/gi5Gw9UPLJgZXPVWsyKC24QyICmNzfCrJmTmE+HrSPMSH2/5vPUdSsrn/k60sfKAHXu6a5CciIiIVx6bk9a233rK5wscff7zcwYj9zGYz+8/st743GozM2j6LXhG97Nu04O+ihsKgabD8OfhlEvjVhw53FCviYjTQs1nxSXwfj+rKLbPXs/NYGk99sYN3hnfGqCEEIiIiUkFsSl7ffPPNYu9PnTpFdnY2AQEBAKSlpeHt7U1ISIiS10q2PmE9J86esL43mU0V0/sK0ONhSD8GG96Gbx+1jIlt2veStzSt58P7d3dhxJxN/LgniWnL/2DcDW0uLw4RERGR82wa8xofH289Jk+eTMeOHdm7dy+pqamkpqayd+9eOnfuzCuvvOLoeOUCZrOZWdtnYTQUf4wGDMzaPuvyxr4WGfAKRN8MpnxYdDcklb0kV7cmgbx+e3sA3v/tEPM3Hrn8OEREREQox4Stl156iVmzZtGqVSvruVatWvHmm2/y4osvVmhwcmnrE9YTmxJbYoksM2Zr7+tlMxph2P9Bo96QmwGf3Q7px8u8bWjH+jw1oCUA//l2D6v2JV9+LCIiIlLr2Z28JiYmkp+fX+J8YWEhJ0+erJCgpGxFva6GS6y4OnnT5IrpfXXzhDs/g3qtITMB5g2F+LWQsKP0I+0YAI9d05zbrmiAyQxjPoshLiHj8mMRERGRWs3u1Qb69+/PAw88wIcffsgVV1yBwWBg69atPPTQQ1x77bWOiFFKkW/KJykrCTMXT06PZR7j12O/0r9h/8tv0Ksu3PUlvN8PUv+EeTdevKyrB4zZhiEgkik3tyMh7RzrD6Zw79wtfPNo7xJLbImIiIjYyu7k9aOPPmLkyJF069YNNzc3AAoKCrjuuuuYM2dOhQcopXN3cWfhjQtJzUktcc1kMvH2jrdZl7COsWvG8u6179I9vPvlNxoQCYOmwlf3X7pcQS5kp0BAJO6uRmaPuIJbZ6/nz+Sz3Dt3C1883BMfD63SJiIiIvazO4OoV68ey5YtY//+/fzxxx+YzWbatGlDy5YtHRGfXEJYnTDC6oSVem1W/1k8s/oZfj32K4/9+hjvD3ifjiEdL7/R4BZ23+Lv5cbHo7py87vriEvM4LEFMXzwry64umiPDBEREbFPubOHxo0b06pVKwYPHqzEtQpyM7rxep/X6RXRi3MF5xj982jiUuKcFk9koDdzRnbFw9XIqn2nmPRdXMWMxxUREZFaxe7kNTs7m/vuuw9vb2+io6M5evQoYNmcYNq0aRUeoJSfu4s7M/rNoHNIZzLzM3lo5UP8eeZPp8XTMTKAmXd2xGCATzce4cPf450Wi4iIiFRPdievL7zwAjt37mT16tV4ev418ebaa69l0aJFFRqcXD4vVy/e6f8ObYPakpabxoMrH+RoxlGnxTOobTjjrrdsWjB52V6W70lyWiwiIiJS/didvH7zzTe8/fbbXHnllcW2H42KiuLgwYMVGpxUDB93H/5vwP/Rom4LTp07xf0r7ifxbKLT4rn/qiaM6NEQsxmeXLSdHcfSnBaLiIiIVC92J6+nTp0iJCSkxPmsrKxiyaxULf4e/rw/4H0a+zUmMSuRB1Y+wOlzp50Si8FgYOKQaPq1qkdOvon7523hWGq2U2IRERGR6sXu5LVr16788MMP1vdFCesHH3xAz549Ky4yqXDBXsF8MPADIupEcCTjCA+seIC0nDT7KvEOsqzjeimuHpZylyriYmTW8M60Cffj9Nk87pm7hfRzJTe/EBEREbmQ3UtlTZ06lUGDBhEXF0dBQQEzZ84kNjaWDRs2sGbNGkfEKBUorE4YcwbOYeTykfyZ9icP/fwQcwbOwdfd17YKAiJhzDbLOq4XStoDSx+1vL7pbUu5Mvh4uPLRqC4Me2cdfyaf5ZH525h7TzfcXbWEloiIiJTO7iyhV69erFu3juzsbJo1a8aKFSsIDQ1lw4YNXHHFFY6IUSpYpF8kHwz8gLoedYlLiWPML2PIzrfja/uASIjoWPzoPAK6PWi5/uurkGdbfeH+Xnw0qit13F1YfzCFcV/v1hJaIiIiclHl6uJq164d8+bNY8+ePcTFxTF//nzatWtX0bGJAzULaMZ7A97D182XmOQYnlz1JLmFuZdXaf//gF99SDsCq6fYfFt0hD9vD++M0QBfbjvO2786bzkvERERqdrsTl5jYmLYvXu39f23337LsGHDGDduHHl5eRUanDhWm6A2vHvtu3i5erEhcQPPrHmGfNNljDv18IUb37S83vAOnIix+dZ+rUOYNLQtAP9duZ9vd5wofxwiIiJSY9mdvD700EPs378fgEOHDnHHHXfg7e3N4sWLGTt2bIUHKI7VMaQjb1/zNh4uHqw+tprxv4+n0FRY/gpbXgdtbwOzCZY+DoW2J8N392jEA1c1AeDZxbvYHJ9a/jhERESkRrI7ed2/fz8dO3YEYPHixfTp04cFCxYwd+5clixZUtHxSSXoFt6N//X9H65GV36M/5GXN76MyWwqf4WDpoFXXTi5G9a/ZdetL1zfhkHRYeQVmnjw060cOnW2/HGIiIhIjWN38mo2mzGZLInNzz//zA033ABAZGQkp087Z91QuXxXN7ia1656DaPByFcHvmL6lunlnzjlU8+SwAKsfg1O2z6G1Wg08OYdHekQGUBadj73zt1CapaGo4iIiIiF3clrly5dePXVV/n0009Zs2YNgwcPBiA+Pp7Q0NAKD1Aqz8DGA3ml9ysAfLb3M2Ztn1X+ytrfAc2ugcJc+O4JMNnek+vl7sKcf3WhQV0vDqdk88AnW8nJv4yhDCIiIlJj2J28zpgxg5iYGMaMGcP48eNp3rw5AF9++SW9evWq8AClct3U7CZe7P4iAB/s/oA5u+eUryKDAW6cAW7ecOR3iJln1+31fD34eFRXfD1d2XbkDM8s3onJpCW0REREaju7Nylo3759sdUGirz++uu4uLhUSFDiXHe0voNzBef477b/MjNmJl6uXtzV5i77K6rbCK55CX56AVb+B1oOAr9wm29vEerLeyOu4F8fbeb7XYk0CvLmqQGt2ByfSnJmDiG+nnRrEoiLUdsSi4iI1BZ2J68X4+npWVFVSRUwqu0osguymb1zNtM2T8Pb1ZubW9xsf0XdH4I9X8KJbbDsGbhjvqVX1ka9mgcz7db2PLN4J++sOsj8jUeLbSMb7u/JhCFRDGpre1IsIiIi1ZfNwwaMRiMuLi4ljrp169KjRw+++uorR8YpTvBIh0cYGTUSgAnrJ/Bj/I/2V2J0gZtmgdEV/vge9i61u4rbrmjADW3DAIolrgBJ6Tk8Mj+G5XsS7Y9NREREqh2be16//vrrUs+npaWxefNmRowYwbx587j99tsrLDhxLoPBwNNdnuZcwTm+2P8F49aOw9PFk34N+9lXUWg0XPlv+O11WPYsNLnaspSWjQpNZmKOpZV6zQwYgEnfxTEgKkxDCERERGo4m5PXoUOHXvTayJEjiYqK4o033lDyWsMYDAbG9xjPuYJzfHfoO55e8zTv9H+HnhE97avoqmcg9htIOQArXoKhb9t86+b4VJLScy563QwkpuewOT6Vns2C7ItLREREqhW7Vxu4mIEDB1p33rLV1KlT6dq1K76+voSEhDBs2DD27dtXrIzZbGbixIlERETg5eVF3759iY2NraiwxQZGg5GXe7/MtQ2vJd+UzxOrniDmpGXr1w0JGxj6zVA2JGy4dCVunpbhAwDbP4VDa2xuPznz4olrecqJiIhI9VVhyeu5c+fsnrS1Zs0aHn30UTZu3MjKlSspKChg4MCBZGVlWctMnz6d//3vf7z99tts2bKFsLAwBgwYQGZmZkWFLjZwNboy/erp9K7fm3MF53j0l0fZc2oPM2Nmcij9EDNjZpa9qUGjntDlPsvr756AvGyb2g7xte33ytZyIiIiUn1V2GoDH3zwAZ06dbLrnuXLlxd7//HHHxMSEsK2bdu4+uqrMZvNzJgxg/Hjx3PLLbcAMG/ePEJDQ1mwYAEPPfRQiTpzc3PJzc21vs/IyAAgPz+f/Pz8EuUrWlEbldGWM0zvPZ3HVz/OtuRt3LfiPrILLAlobEosvx39jV4RZaz12/dFXPctw3AmnsJVUzBdM6HMNjs18CXMz4OTGbmUlh4bgDB/Dzo18HXoz72mP9vaTM+2ZtJzrbn0bGsee56lwWzjHqBPPfVUqefT09PZunUrBw8eZO3atXYnsBf6888/adGiBbt376Zt27YcOnSIZs2aERMTU6zeoUOHEhAQwLx5JRe+nzhxIpMmTSpxfsGCBXh7e5c7NvlLrjmXjzI/4oTphPWcAQMRLhE87PMwhjKWwgpLj6H7oRmYMPJbq4mkezcus82dKQY+2l/0RcHf6zdzb0sTHYK0iYGIiEh1lJ2dzfDhw0lPT8fPz++SZW3ued2+fXup5/38/Bg0aBCjR4+mUaNG9kV6AbPZzFNPPcWVV15J27ZtAUhKSgIose1saGgoR44cKbWeF154oViinZGRQWRkJAMHDizzh1ER8vPzWblyJQMGDMDNzc3h7TmL71Ffxv4+1vrejJkThSeo26lu2b2v3IDpq3iMe7+lT9piCm5eAS6X/lndAHSOPcmry/4gKSO32LWgOh48dedVeLg5dpOM2vJsayM925pJz7Xm0rOteYq+KbeFzcnrqlWryhWMrcaMGcOuXbv4/fffS1z7e0+e2Wy+aO+eh4cHHh4eJc67ublV6i94ZbdXmcxmM/P2zsNoMGIym6znjQYjs3fP5uqGV5fZ+8rgNyB+DYaTu3Hb+j5c+WSZ7d7YsQHXt69v3WHLz9ON55bsJDkzj082H2d03+aX+clsU5OfbW2nZ1sz6bnWXHq2NYc9z7HCJmxdjscee4ylS5eyatUqGjRoYD0fFmZZmL6oB7ZIcnJyid5YqTzrE9YTmxJbLHEFMJlNxKbEsj5hfdmV+ITAdVMsr1dPhZSDNrXtYjTQs1kQQzvWp1/rEF64oQ0Ab//6JycztNqAiIhITefU5NVsNjNmzBi++uorfv31V5o0aVLsepMmTQgLC2PlypXWc3l5eaxZs4Zevcr6alocwWw2M2v7LAwlxp1aGDAwa/usslceAOg4HJr2hYIcy+oDtg2/LmZoh/p0ahhAdl4h05fvK/sGERERqdacmrw++uijzJ8/nwULFuDr60tSUhJJSUmcO3cOsAwXePLJJ5kyZQpff/01e/bsYdSoUXh7ezN8+HBnhl5r5ZvyScpKwlzqvH/L2NekrCTyTTbMGjQY4MYZ4OoFh9dCzCd2x2M0GpgwJBqAJTHH2XGRnbhERESkZqiwpbLKY/bs2QD07du32PmPP/6YUaNGATB27FjOnTvH6NGjOXPmDN27d2fFihX4+vpWcrQC4O7izsIbF5Kak1rsfMLZBJ5f+zy5hbkMbT4Udxd32yoMbALXjIcVL1p23mp5HfiG2RVTx8gAbu3cgCUxx5m4NJavHumFUdvEioiI1EhOHzZQ2lGUuIKl93XixIkkJiaSk5PDmjVrrKsRiHOE1QkjKiiq2HFto2sZ3308AJ/EfsKuU7tsr7D7IxDRCXLTYdmz5YrpuUGtqOPuwo5jaXyz40TZN4iIiEi1VCUmbEnNMKz5MAY1HkSBuYCxv40lM8/GXdBcXC1bxxpdYe9S2Pud3W2H+Hny6DWW1Qam/fgHWbkFdtchIiIiVZ+SV6kwBoOBl3q+RH2f+pw4e4JXN75q28QtgLB20PsJy+sfnoFzaXa3f2/vJjQM9CY5M5d3V/9p9/0iIiJS9Sl5lQrl5+7HtKum4WJwYVn8Mr47ZEcv6tVjIag5nE2Clf+xu21PNxdeHGxZOuuDtfEcTcm2uw4RERGp2pS8SoXrGNKR0R1HA/Dqxlc5nH7YthvdPGHIW5bXMfMgfq3dbQ+ICuXK5sHkFZiYsmyv3feLiIhI1abkVRzivrb30TWsK+cKzvHc2ufIL7Rh6SyAxr3hinssr797AvLP2dWuwWDgpRujcDEaWB6bxPo/T9sZuYiIiFRlSl7FIVyMLky9cir+Hv7EpcTx1va3bL95wCTwDYfUg7DmNbvbbhXmy4juDQF4+fs4CgpNZdwhIiIi1YWSV3GY0DqhvNzrZQDmxs5l3Yl1tt3o6Q+D/2t5ve4tSLRj2a3z/j2gJQHebvyRlMnnW47Zfb+IiIhUTUpexaGuaXgNd7a6E4Bxv4/j9Dkbv8ZvPRiihoK5EJaOgUL7lr4K8HbnqQEtAfjfin2kZefZdb+IiIhUTUpexeGe7vI0Leq2IDUnlRfXvYjJbOPX+Ne/bumFTdwJG9+1u93h3RrSMtSHM9n5zPj5gN33i4iISNWj5FUcztPVk9evfh0PFw/WnVjHp3Gf2najbygMnGx5vWoKpB6yq11XFyMThkQD8OnGI+w/aeOmCSIiIlJlKXmVStEsoBlju44FYEbMDGJTYm27sdMIaHI1FJyzrD5g66YH5/VuHszAqFAKTWZe+T7O9k0TREREpEpS8iqV5vaWt3Ntw2spMBXw3G/PkZ1vwyYCBgMMmQkuHhD/G6yeCgk7Sh5pF5+U9eLgKNxdjKw9cJqf9yZXzIcRERERp1DyKpXGYDAwsddEQr1DOZJxhCmbpth2o9HNMnELLEtnvd+n5PH2FRdNYBsGeXP/VU0AePWHOHILCivi44iIiIgTKHmVSuXv4c+0q6ZhNBj59uC3/HDoh7Jvyk4BUxmrDRTkWspdxOh+zQnx9eBISjYfrztsX9AiIiJSZSh5lUrXJawLD7V/CIBXNr7CsUzHr8Pq4+HKc4NaAzDrlwMkZ+Y4vE0RERGpeEpexSkebP8gnUI6kZWfxfO/PU++ycbtYy/DzZ3q0yEygKy8Ql5fvs/h7YmIiEjFU/IqTuFqdGXaVdPwdfdl1+ldvLvD/nVc7WU0GpgwJAqAxduOs/NYmsPbFBERkYql5FWcJsIngok9JwLw4e4P2ZS46fIq/P1NOH3pzQg6N6zLLZ3qAzDpu1gtnSUiIlLNKHkVpxrYeCC3trgVM2ZeWPsCZ3LOlL+yuG/g7S4w/1Y4sBJMpe/kNXZQa7zdXYg5msa3OxLK356IiIhUOiWv4nTPdXuOpv5NOXXuFC+te6n8vaGNegMG+PNn+Ow2eKcbbP4AcovvrBXm78mj/ZoDMPXHvWTllrGSgYiIiFQZSl7F6bxcvZh+9XTcje6sOb6GBX8sKF7AOwhcPS5diasH3PwePB4DPUaDhx+kHIBlz8D/omD5OEiNtxa/78omRAZ6cTIjl/9bc9ABn0pEREQcwdXZAYgAtApsxVNdnmLa5mn8b+v/6BLahVaBrSwXAyJhzLZLruOKd5ClHMCgqdBvHOz4HDa/Byl/wsZ3YOO70Op66P4wnk2uZvwNUTw8fxvv/XaIf3SJJDLQ2/EfVERERC6Lel6lyhjeejh9GvQhz5THs789W3z72IBIiOh48aMocS3i4QvdH4RHt8BdX0Kz/oAZ9i2DT26C2b24Lmc5fZvUIa/AxNQf91bOhxQREZHLouRVqgyDwcArvV+hnlc94tPjmb5l+uVXajRCiwFw91eWRLbr/eBWB5LjMHz/BB+mjuR518/ZvjuWDQcv0bMrIiIiVYKSV6lS6nrWZepVUzFgYMmBJaw4vKLiKq/XEgb/F56Kg4GTIaAhLrlpPOz6HWs9niB/4d0UHl4PF04YSzsGCTssR+JO/LMPQ+LOv86lOX53MBEREfmLxrxKldM9vDv3tbuPObvnMHHDRNoGtyXCJ6LiGvAKgF5joMcjsH85+evfxe3o71ydvw7mXg/hHaD7IxDZDWb3hIJcANyAvgAXbs7l6mEZj/v3YQsiIiLiEOp5lSppdMfRtA9uT2ZeJs+vfZ4CkwOWszK6QOvBuN37A9/2+ILPC/qRg5ulZ/Wbh+GDa6yJ60UV5F56IpmIiIhUKCWvUiW5Gd2YdvU06rjVYXvydt7f9b5D27thwAA+Cvw3PXNm8UvEw+AbATlpDm1TRERE7KfkVaqsSN9I/tPjPwC8t+s9tiZtdVhbbi5G/jMkijP48eDhPhz45zroP8Fh7YmIiEj5KHmVKu2GpjcwtNlQTGYTz699nvTcdIe1dVWLegyICqXQZOblHw9gbtbPYW2JiIhI+Sh5lSpvXPdxNPJrxMnsk0xcP5ENJzYw9JuhbEjYUOFtjb+hDe4uRtYeOM2W+DMVXr+IiIhcHiWvUuV5u3nz2tWv4Wp05eejPzNhwwQOpR9iZsxMzBcua1UBGgfX4d4rmwDwwdpDtt1UcK5CYxAREZGLU/Iq1UJ0UDRPdn4SgMSsRABiU2JZn7C+wtsac01z6vl6kJCeY9sNXz8Cp/+s8DhERESkJCWvUm2MaDMCHzcf63ujwcis7bMqvPfVx8OVsde14ozZl1yzW9k3nImH9/tC3NIKjUNERERK0iYFUm1sTNzI2fyz1vcms8na+9q7fu8KbevWzg34dGMz+h3/L3dEe/NE/xbkFxSwbt06evfujZvr+b86ZhP8NB6Orocv7oZej1tWKXDRXy0RERFHUM+rVAtms5lZ22dhNJT8lZ2wfgKFpsIKbc9oNDBhSDQJBDMjzpsdBY3ZlBPJr9lN2JQTSWFYB4joCPU7w8il0Osxy43r34JPboLMkxUaj4iIiFgoeZVqYX3CemJTYjGZTSWuncw+yYhlIziTU7GrA1zRqC7DOkZgNsPt761nxEdb+eSACyM+2sqVr/3K8j2Wsbe4uMHAV+Efn4C7LxxZB+9dDUcqfjUEERGR2k7Jq1R5Rb2uBgwXLbMnZQ+3Lr2VmJMxFdp296aBAOQXFh9Xm5SewyPzY/5KYAGihsKDq6BeazibBHMHw4Z3oILH5IqIiNRmSl6lyss35ZOUlYSZiyeBRoORU+dOce9P9zJn95xSe2jtVWgy89Yvpa8iUBTJpO/iKDRdEFdwC7j/F2h7G5gL4adxsHgU5GZedjwiIiKiCVtSDbi7uLPwxoWk5qRetIyXqxfv7XqPHw79wMyYmWw9uZUpV04h0DOw3O1ujk8l8RLLZZmBxPQcNsen0rNZ0F8XPHzg1jkQ2d2SvMZ9A8lx8I9PIaS1XTEUmsxsjk8lOTOHEF9PujUJxMV48R5oERGRmk7Jq1QLYXXCCKsTdskyU6+cSrewbkzZNIV1J9Zx+9Lbmd5nOleEXlGuNpMzbVvndfRn22gZ6kv9ul40qOtNg7peNAjwokHzEUSEtcf1y3vg9H744Bq46S1od5tN9S7fk8ik7+KKJdDh/p5MGBLFoLbh5fpMIiIi1Z2SV6kxDAYDt7S4hbbBbXlmzTPEp8dz70/38mjHR7m/3f2lrlRwKSG+njaVO5Odz6b4VIgvec1ogNa+r/Ka+0za5e2EJfexb9uvnOoxnvrBAUQEeOLh6lLivuV7EnlkfkyJgRJFY21nj+isBFZERGolJa9S47Ss25KFgxfy6sZX+e7Qd8zaPottJ7cx5copBHkFlV3Bed2aBBLu70lSek6po20NQIivB2/9sxNJGTkcP3Pu/JHNiTPnOJ52jrwCE3EZngzlWZ5yXcwY129pdfgzMg9t4c68xzlJICG+HjSo60X98722EQGe/G/F/lLbNJ9vd9J3cQyICtMQAhERqXWUvEqN5O3mzeQrJ9M1rCtTNk1hfcJ6bv/udl67+jW6hnW1qQ4Xo4EJQ6J4ZH4MBiiWTBaljJOGRtO9aekJsclk5nRWriWRPXOO42eimH+kJ7ccfoUuxv384DGex/LHsCEzmuTMXGKOptkU10XH2oqIiNQCSl6lxjIYDNzc4mbaBbfj6TVPcyj9EPevuJ9HOjzCA+0ewMVY8uv6vxvUNpzZIzqXGHsaZsPYU6PRQIivJyG+nnRqWPf82Ucg9TpY9C+CT+5mgcdUkrqMZXvkSE6k5XD8TDbbjpxhT0JGmbHZOiZXRESkJlHyKjVe87rN+Xzw50zeNJmlB5fyzo532HZyG1OvmkqwV3CZ9w9qG86AqDA2/JnMirWbGHhVd3o2Dyn/V/aBTeG+FfDD0xh2LiB8yzTCM3bDzbPBsykbDqbwzw82llmNrWNyRUREahKt8yq1QtEwgld7v4qXqxcbEzdy+3e3szlxs033uxgNdG8SyBXBZrpXxHJV7t4w7F0YMhNc3GHfD/B+X0jaYx1re6kWwv0ty2aJiIjUNkpepVYZ2nwonw/+nOYBzTl97jQPrHyA2TtmU2gqrPxgDAa4YhTc+xP4N4TUQzDnWlx2L2Jq/wCiDfG0NcQTXcpxU2OTJmuJiEitpGEDUus0C2jGgsELmLppKl//+TXv7nyXbSe3Me3qaTYNI6hw9TvDQ2tgyf1w8Bf4+iH6Glzo63HxhDrnDzcW/7yU26/tVYmBioiIOJ96XqVW8nL14uXeLzPlyil4uXqxKWkTty29jY2JZY81dQjvQLhrMfR9wfLefOmeYE9DPnN/ieHD30tZXFZERKQGU/IqtdqQZkNYeONCmgc0JyUnhQdXPMg7O95xzjACowv0fR6uf93mW175Po4PfjvkwKBERESqFiWvUus19W/KgsELuLXFrZgx8387/48HVj7AqexTzgkosptNxf7ZrSEAk5ftZfbqg46MSEREpMpQ8iqCZRjBxF4TmXrVVLxcvdiStIXbvruN9QnrnR3aRY048QrfNV7MP11+4YefljH7lzhnhyQiIuJwmrAlcoEbm95IdFA0z6x5hv1n9vPwyoe5v939jO44mk1Jm5iZMZOgpCCujLzS2aHC6f20Yz9T3Sxv836bQPL2FoS07A4RHSG8I4RGg6uHbfWlHYPslItf9w6CgMjLjVpEROSyODV5/e2333j99dfZtm0biYmJfP311wwbNsx6fdSoUcybN6/YPd27d2fjRidNqpFaoYl/Ez674TOmb5nO4v2L+WD3B2w7uY2zeWc5ZTrFrB2z6N2gNwaDk5equnYinEuDxB3kHI3BsyCDkLN/QMwfEHP+743RDULaQHiH8wltJ0tC6/a3DQ7SjsHbV0BB7sXbc/WAMdsqPoFV0iwiInZwavKalZVFhw4duOeee7j11ltLLTNo0CA+/vhj63t3d/fKCk9qMU9XT/7T8z90Ce3CpA2TiEmOsV6LS41jfcJ6etfv7cQIgab9LAkp4Gk2s+Cntaz97WfaGuMZHHySRrkHMJxLhaRdlmP7p5b7jK5Qrw1EdLD0zkZ0AlPhpRNXsFzPTqnYRNKZSbOIiFRLTk1er7/+eq6//vpLlvHw8CAsLKySIhIp7oamN9AmsA23f387uYV/JVgzYmbQK6KXY3pfvYMsCVtZCZ130F/vDQaGD7qa7DoNePWHvbyeBI/2bcoz3b0xJO6ExB2QsMPyZ3YKnNxtObbPP1+Bk4a/Z6c4J2kWEZFqq8qPeV29ejUhISEEBATQp08fJk+eTEhIyEXL5+bmkpv71/8MMzIyAMjPzyc/P9/h8Ra1URltSeU4mn60WOIK8EfqH7yz/R0eavdQxTdYJwwe3lT2V+l1wuBvv2cje0RiMpmY8uM+3ll9iLyCxjw7cBCGFuf/kWg2Q8YJDIk7MSTtwpC003Jk2baygvmj68DVE1zcLD24Lu7n/3QDoxvm83/icsE1o5vletE1o6ulnIsbnDuDiw3t5hcUlPisFUl/b2smPdeaS8+25rHnWRrMZrPZgbHYzGAwlBjzumjRInx8fGjUqBHx8fG89NJLFBQUsG3bNjw8Sp+EMnHiRCZNmlTi/IIFC/D29nZU+FJDmc1m/u/s/5FQmICZkn9V2ru250bvG/E2Vq3frd8SDSw5bEkL+4WbGNrIxEU7ic1m6mXsoteh/1ZegHZa32wsp/zaOjsMERFxkOzsbIYPH056ejp+fn6XLFulk9e/S0xMpFGjRixcuJBbbrml1DKl9bxGRkZy+vTpMn8YFSE/P5+VK1cyYMAA3NzcHN6eONb6hPWMWT3mkmUCPQN5ocsL9G/Yv5Kiss1nm44y8fs/ABjVsyHjrm918WEOiTtx+6js+PNvnw9BzaAwHwrzMZgKwJQPhXlQWPS6AEx5ljKmAgwXXjPlW+/FVAAZJ3DZs9imz2MOao6pYS/MDXthbtgb/MJt/lmU+bn097ZG0nOtufRsa56MjAyCg4NtSl6r/LCBC4WHh9OoUSMOHDhw0TIeHh6l9sq6ublV6i94ZbcnFc9sNjN792wMGErtdTVgwN3FndScVJ79/VkGNhrIuO7jCPIKKqW2yjfqyma4u7kx7uvdzN1wFAxGJgyJKj2BdbXtPwVudSMhLKrigkzYATYmr4aUP3FJ+RO2f2I5EdgUGvWGxldaDv8Glx2O/t7WTHquNZeebc1hz3OsVslrSkoKx44dIzy84npcRC4m35RPUlZSqYkrgBkzPm4+3NX6LubFzWPFkRVsTtrMC91e4Pom1zt/KS1gePeGGA3wwte7mbv+MCazmUk3RVeJ2Owy8nvIzYQj6+DwWkjaDamHLEfRKgoBjSxJbFFCW7fRpeu8cImuggL8sw9D4s6/Enkt0SUiUiU5NXk9e/Ysf/75p/V9fHw8O3bsIDAwkMDAQCZOnMitt95KeHg4hw8fZty4cQQHB3PzzTc7MWqpLdxd3Fl440JSc1IBKCgoYN3v6+h9ZW9czyc4gZ6BhNUJ47om1/HSupfYf2Y/z619juWHl/NSj5eo513PmR8BgDu7NcRoNPDckl18suEIhSYzrwxti9F4QQJbnhUOKpOHLzS5ClrfYHmfkw5HN8Lh3y1H4k5IOwI7jsCOzyxl/CPPJ7JFyWwTrAN//7ZElxvQF2DfBW1qiS4RkSrJqcnr1q1b6devn/X9U089BcDIkSOZPXs2u3fv5pNPPiEtLY3w8HD69evHokWL8PX1dVbIUsuE1QkjrI5lqbb8/HziXeNpE9imxNcbUUFRLBy8kDl75vD+rvdZdWwVW09u5bmuz3FTs5uc3tP5jy6RGA0Gnv1yJ59tOkqhycyUm9v9lcAGRFoStcreLKC8SbOnP7S8znKApVf26CY4cj6ZTdgO6cdg10LLAeAbYUlkG/UG72At0SUiUk05NXnt27cvl5ov9tNPP1ViNCKXx83FjUc6PEL/hv15ad1LxKXE8eK6F1l+eDkTek6wJsHOctsVDXAxwtNf7GThlmOYzGam3dK+eAJb2YlaRSXNHr7Q4lrLAZCXBcc2weF1lqEGx7dCZgLsXmw5RESk2qpWY15FqoOWdVvy2Q2fMTd2LrN3zOb3E78z7NthPNPlGW5tcatTe2Fv7tQAo8HAvxft4Iutxyk0wfTb2uNidGLPsCOSZvc60OwaywGQlw3Ht5wfM7vOktiatD6kiEh15KRtdURqNlejK/e3u5/FQxbTvl57svKzmLRhEg+sfIDjmcedGtvQjvV565+dcDEaWBJznGcX76TQVCVWzHMcd29o2gf6jYN7foBRy5wdkYiIlJOSVxEHahrQlE8GfcIzXZ7Bw8WDTYmbuGXpLSzYuwCT2eS0uG5sH8Gsf3bC1Wjgq+0neOqLHRQUOi+eSufqblu5pU/AniVQkOfYeERExGZKXkUczMXowsjokSy5aQlXhF7BuYJzTN08lXuW38ORjCNOi+uGduG8PbwzrkYD3+5I4N9f7KSg0EShycyGgyl8u+MEGw6m1Pxe2UtJ2gFf3gtvRsMvr1hWKRAREafSmFeRStLIrxEfXfcRi/Yt4s1tbxKTHMNtS29jTKcxjGgzAhejS6XHNKhtGO/e1ZlHF8Tw3c4ETpzJJiEth6SMHGuZcH9PJgyJYlDbWri+cueRsP8nOJsEa9+A3/8HLQdBl/ss42mN+ve/iEhl0395RSqR0WDkn63/yVc3fUX38O7kFObwxtY3+Nfyf3Eo7ZBTYhoYHcbsu67A1Wgg5mhascQVICk9h0fmx7B8T6JT4nOIoiW6LsXVA65+Fv69B26fB02uBrMJ9i2Dz26FWZ1g3UzIusRKCSIiUuHU8yriBA18G/DBgA9YcmAJb2x9g12ndnHbd7cxuuNoRkWPwtVYuX81+7UOwdfTlTPZJWfgmwEDMOm7OAZEhTl3ZYKK8rcluvILCli3bh29e/fGrbQdtqKHWY5T+2HrR7BjAZw5DCv/A79Otlzrch9EdvtrIwQREXEI9byKOInBYOC2lrfxzdBvuLL+leSb8pkZM5O7lt3F/jP7reU2JGxg6DdD2ZCwwWGxbI5PLTVxLWIGEtNz2Byf6rAYKl1AJER0tBzhHUj3bgzhHf46V9ryXfVawvXT4Om9cNMsCO8IhbmwaxF8NBD+7ypLcpt7tjI/iYhIraKeVxEnC6sTxrv932XpwaW8tuU14lLiuOP7O3iw/YPcF30fM2Nmcij9EDNjZtIjvIdD1olNzswpuxAwYekeejULpnmIDy1CfGgR6ktgHRtn7peh0GRmc3wqyZk5hPh60q1JYNXt5XWvA53/ZTlObIMtH1pWJTi5G77/N6z4D3S4E7reByFt/rov7Vjl72ImIlLDKHkVqQIMBgNDmw+lV0QvXtn4CquOreLdHe/y7Z/fcuLsCQBiU2JZn7Ce3vV7V3j7Ib6eNpXbf/Is+08W71UM9nE/n8z60iLUx/o62Mfd5kR7+Z5EJn0XR2J6NZwoVv8KyzHwVdj5uSWRTT0IWz6wHI16Q5d7IaIzzO5R9la4Y7YpgRURuQQlryJVSD3veszsN5Plh5czeeNka+IKYMDAm9vepFdErwrvfe3WJJBwf0+S0nMobWEsAxDk486z17Xi0Kks9p/M5EDyWY6fOcfps3mcPpvKxkPFhxQEeLtZe2dbXJDchvh6FIt/+Z5EHpkfU6Ldoolis0d0rvoJLIB3IPR8FLo/AvFrYOuH8Mcyy65eR9aBZ8ClE1ewXM9OUfIqInIJSl5FqhiDwcD1Ta4HYOxvY63nzZjZd2Yfg78azI3NbqRvZF/aBLapkETWxWhgwpAoHpkfgwGKJZJFtb86rG2JJDI7r4CDyVkcSLYkswdOnuVAciZHU7NJy85ny+EzbDl8ptg9vp6u1mS2WUgdZq8+VGrCXG0nihmN0Kyf5chIgG3zIGYeZNag1RpERJxIyatIFWQ2m5kXOw+jwVhiJ65jZ48xe+dsZu+cTYh3CH0a9KFvZF+6hXXD09W2r/9LM6htOLNHdC7x9X3YJb6+93Z3pV0Df9o18C92Pie/kIOnzvLnBQntgeSzHEnJJjOngJijacQcTSszpgsnivVsFlTuz+Y0fhHQ7wW4+hnY+K5ldQIREbksSl5FqqD1CeuJTYm96PWO9Tqy78w+krOTWbx/MYv3L8bL1Yse4T3oG9mXqxtcTbBXsN3tDmobzoCosMueOOXp5kJ0hD/REcWT2tyCQuJPZ51PaM/y2/5kdhxLL7M+WyeUVVkubtCkj21lTx+wrHqgJbdEREql5FWkijGbzczaPgsDBsylfKFuwEC+KZ/f7viNLUlbWHN8DauPreZk9klWHVvFqmOrMGCgXXA7+kT2oU+DPrSs29Lm4QUuRoPDejk9XF1oHeZH6zA/AHo2DeKfH2wsO6balMh9dT+sngrRN1uO0GglsiIiF1DyKlLF5JvyScpKKjVxBcvY16SsJIwGI1c1uIqrGlzF+O7j2XdmH6uOrWLNsTXEpsSy6/Qudp3exazts4ioE0GfyD70bdCXLmFdcHepmOWtLldZE8WKPLloO+sOpjC6bzMiA70rLT6ncHG3rFaw9g3LEdTir0Q2pI0SWRGp9ZS8ilQx7i7uLLxxIak5F98QINAzsFgCajAYaB3YmtaBrXmkwyMkZyez5vga1hxbw8bEjSRkJfD5H5/z+R+f4+3qTe/6vekb2Zer6l9FXc+6JerfkLCBaZun8Xy35+kZ0dMhnxPKnihmBlqE+HAg+Syfbz7KF1uPcXOn+ozu24ym9XwcFpdT/WspZJyA2K/hwEpIOQC/Tbccwa0uSGRbOztSERGnUPIqUgWF1QkjrE5Yue8P8Q7h9pa3c3vL2zlXcI6NCRstyezxNZw+d5qVR1ay8shKjAYjHep1oG9kX/o26EsT/yYAlbIxQhFbJoptjk9l1q8HWHvgNF9uO85XMce5sX0Ej/ZrTqswX4fFVqG8gyzruJa1zqt/A2jUE9rdBjkZsH+5JZH982c4vQ/WTLMc9dr8lcjWa1l5n8Me2pRBRBxAyatIDefl6kW/hv3o17AfJrOJ2NOxrD6+mjXH1rDvzD62J29ne/J23tz2JpG+kbQIaGGdLObIjREuVNZEsW5NAvn0vu5sP3qGd1b9yc97k1m6M4GlOxMYFB3GmGua07a+fxmtOFlApGUDAnuSOU8/aP8Py5GTDvt+PJ/I/gKn9sLqvbB6CoRE/5XIBjcvWa8zksi0Y/D2FdqUQUQqnJJXkVrEaDDSrl472tVrx2OdHiPhbIJ1eMHmpM0cyzzGscxjxe55es3TDGo8iAa+DQivE059n/qE1wmnnnc9jAZjhcVmy0SxTg3rMmdkV2IT0nn71z/5cU8Sy2MtR//WIYy5pjmdGpYcBlFlBESWP1Hz9LdsOdvhTjiXBvuWWRLZg79CcqzlWPUqhLaD6GGWRDaomfOSyOwUbcogIg6h5FWkFovwieCfrf/JP1v/k6z8LD7a8xHv73q/WJms/CyWHFhS4l43oxvhdcIJ9/kroa3vU58Inwgi6kQQ4h2Ci9HFrnhsHWsbHeHP7BFXsP9kJu+s+pPvdibwyx/J/PJHMle1COaxa1rQrUmgXW1XK14B0HG45chO/SuRPbQaTu62HL++YllyK7K7kkgRqVGUvIoIAN6u3qw7sa7ExggGDAR7BdMjvAeJWYkknE3gZPZJ8k35HM08ytHMo6XW52pwJbROqDWZjfCxHEWJbmidUNyMbtbyZrPZ7rG2LUN9mXlnJ57o34LZqw/y9fYTrD1wmrUHTtOtSSCPX9OC3s2DHDpm1+m8A6HTCMuRnQp/fH8+kV0DiTsthy3Sj1vWoy3IgfwcKDh3/s/zR/65C15feC73grLn3+efg3Nnym5TRKQclLyKCHDxjRHMmDl17hSDmw62jn0tMBWQnJ3MibMnSMxKtPx51pLYnjh7gqTsJApMBZw4e4ITZ0+U2p7RYCTEO4SIOpaEtsBcUO6xtk3r+fD67R14vH8LZq85yJdbj7M5PpURH26iU8MAHrumOf1ahdTsJBYsiWznf1mOrBT44zuI+QRObCv73kV3OT4+EZEKoORVRGzaGGHW9ln0iuiFwWDA1ehq7UktTaGpkFPnTlkT24SzCdajqPc2z5RHUlYSSVlJxCTHlKjjud+e4/luz9Orfi8CPW0bAhAZ6M2Um9vx2DXNeW/NIT7ffJTtR9O4d+5W2tb3Y0y/FgyMCsV4wY5hhSYzm+JT2XbaQFB8Kj2bh9i9o1iVVCcIrhgF4R3hfRt293L1Avc64OYFrp6Ww63oTy/LuFhXr/PnvP66Zr1+4T1eluW+fniq7HaPbdKOYiJiFyWvImLzxgj5pnybNjhwMbpYl/vqFNKpxHWT2UTKuRQSsiwJ7fqE9Xzz5zfFyqTnpfPC7y9gwEB0UDS96/fmyvpX0ja4La7GS/+nK9zfi4k3RTO6XzPmrI1n/sYj7DmRwcPzt9Eq1JdHr2nO4HbhrIxLumCJLhc+ObCV8AuW6KpV7l0OER0rrr6EHbaV+3EsxHwKVz4JUcPARf9bEpFL038lRKRcGyNcDqPBSD3vetTzrkf74PbMi51X6lhbdxd3cgtz2ZOyhz0pe3hv13v4uvvSM7wnV9a/kl4RvQitE3rRdkJ8PRl3Qxse7tOMj36PZ976w+w7mcnjn29n8vdxnMwsOZEpKT2HR+bHMHtE59qXwDqDq6dlgtmS++CXl6HXY9DxLnCv4TupiUi5KXkVEeDyN0Yor0uNtc0tzGXaVdPIN+Wz7sQ61iesJyMvgxVHVrDiyAoAWtRtwZURV9K7fm86hXQqNcEOrOPOM9e14oGrmzJv/WHmrD1UauJqadeyu9ek7+IYEBVWM4YQOIOtmzLc/zPsWw6bZkPaEVj2DKyeBt0fhm73g1cVXvpMRJxCyauIOI0tY20/jfuUzwd/zrDmwyg0FbLn/9u77/ioqvz/4687JTPpjVSSkEASuiBViAioIKAoKrsquvbfWlb9qr+17Orvq66ra18VFcsiqAiyKroWpOgSIAmdROmBkEBCEkJCyqTPZM7vj0mGhIQUSOfzfDzuY2bu3HJuDgnvOXPuOQW7STyWSOKxRHbl7+Jg4UEOFh5k0Z5FuBpcGR88nri+ccT1jSPcs+HQT96uRh66LIZhfb25c/G2M5cLyCmuZGv6yRbHnu32Whsi3dr5OtsyKUPwcJjwJ0j5HJLehqKjjjFrE/4JY+6Ai+4H777tWz4hRI8l4VUI0WXa2tdWr9MzImAEIwJGcP/I+ymqLGJTziYSjiWQeCyRgsoC4rPiic+KB6CfVz/iQh1BdmzwWFwNrgBYKq0NzqN3O4gp+HuqcmdTUx7jXJ9nqaTHO5uZvdrz3K09rosbjPs/MPoOx1BfiW/C8d2w6R3Y8gFccAPEPQQBA9u/nO1BpsIVotNIeBVCdJlz7WvrY/ZhZtRMZkbNxK7spBamOoNsSl4KR0qOcKTkCEv3L8VF58LooNHE9Y3DQz+MUx0EFKbA1ehNeZgCV1OeEV27Hj7ccBh3FwOXDgpsMEJBj3MuM3t1Nr0BLvgdDJ8Lh36GhDfhSAKkLHEsg66CuIchfGxXl/QUmQq3c9T/gGCz4V2e4RjH2FAbZeQDwnlDwqsQoku1V19bnaZjkN8gBvkN4u7hd1NaXcqW3C0kHksk4VgCOWU5bMrZxKacTQB4xfhQbYnFbvNA75oFgN41C737QWrKYgHYk13C3Z9uJ9LfjTviopg7Ogx3k/zZ7BSaBjHTHEvmNkdL7P4fTi39LnaMUBB9edcPs9WVU+GeLy2+p31AMAJTAA7U20Y+IJw35K+wEKJX8nDx4LKIy7gs4jKUUqSXpDv7ym7L3Ua1oQij71YAlHLkH6XAHLyCymM388yMyzl20srSrUfJKCjnme/28NqaA9w0LoJbJ/QjzFfuhu804WPhxs/hxAFIfBt+W+5ojT2SAEHDHC2xQ691tNqeT61zXdXi2xWBuSs/IIhuR1NKNd3ZrJcoKSnB29ub4uJivLy8Ovx8VquVlStXMmvWLIxGY8s7iB5D6rb3qLBVsOP4Dt7Z9hl7ipOa3MZF58JAv4HE+gym3BLCpn3uZB73AHTodRozhgZz58WRjIrw7f0zd3U3xcdg83uwYzFUlzrW+UTAhX+ADa9BTQeEuRorWHJrl5x6S64jVGc3nmijkbCx4Ncf3PqAe+1S99zN3/Fo8mp9S3J2SusmoPjj+vYbw7erAnNXXKvoVG3Ja9LyKoQ477gaXIkLjeMdwzuNxpcFRxeEans1u/J3sSt/l2OlH/j3MWO0hVNYGMTqI2Gs3B/G8OAB3BUXxazhIRj1ui64mvOQd1+44gW45M+w7V+w+f3aEQpeaHnf01vn7HbHa0v2qWBaUi+Y1q0vO3Hu5c7a5liao3dxBFm3Po5Z0poMurWPlSXnXqa26sgWUKXAWg4VhVBR5HisrH083ng4PXH+kvAqhDgvnWl8WXDMAPa3iX/DbDCzO383u/N3s+/kPipsFVTrDuLif9C57eEaV55MDOO5hH5c2n80fxw3mRj/sBZbYzdlb+KlrS/x5LgnmRA6oV2v7bzh6guXPAYTHoDkJY5W19Lclvdb8zTYKk+1pNqtLe8DoDOCZwh4BjsWr1DHY421dcF58hNgdIPyfCgrqH3MP/XaWgY11adaddvLlg/At1/jKXzrHg2mU1P8NjXV79nMelZZBPkHT4XQ+kH09GBaf11r60Kc1yS8CiHOO60ZX3b5geUsu3IZM6NmAlBjryG9ON0x21f+bvYW7GX/yf1YqcDgcRArB1l94mdW//gyJs2b4X2GMa7vCIb6D2VYn2H4mf0anP+tnW9xuPgwb+18i4tCLpKuB+fC6OoYZit0FPzr0pa3z9h42goN3APAK6ReOK0Npp4hp9a7+oGuidb17JTWhdeBs5r/Sru6vF6gLagXbPObCLwFUNXKltdfl7ZuuzPRGU6FXJ2+dft8es05nM/o+GDi6lP76OtoIT+0puV9j+2AkBFdfxOf6FASXoUQ5522ji8LoNfpifaNJto3mjnRcxzHqbGSWpTKr3m7WXVwG7vzd1Oty6GKYrafSGT7iUTnMUPdQxnaZyhD/YeilHK2+u4p2EPCsUQmhV3csRd9PmhtsJr4P46bwOqCqkcQ6LtBP3YXN3CJcPTfbY3MbbDw8pa3G/47cPFwfJ1vqwBrpePRVgXWCkcrtLWi4fv1+w3bbVBtcSxtYfKuDaA+jgBq9jkVRptbZ3RrHD6zU1oXXn98FHZ+AhMfgiFzzq7VWHR7UqtCiPPO6ePL2mw2EhMSibs4DkPtXenNjS9bx6g3MtTfEUjnDb4BpRQbDmXzftIGdhz/DZ35GDpzFnrTCbLLsskuy2btkbUNjqEU/GnV87w8fhEzh4d2zAWLhoZd17439XTVLGatDdwTHmj79drtjgB7erjN/RW+ubfl/e/+L4SNbts524Pe5Bhd4uu74JfnYMKDcOHN4OLe+WURHUbCqxDivFR/fFmr1Uq6IZ3BfoPPaSQJTdOYHNOXyTE3caTgahYnZfDvbZlYbGXozVmYPbKxm/dicM+otw8oYzb/N+lWthXM45GJv8PTxfNcL090pq6cxayj6HSgc3V0yaivprqV+7eyFby1WvsB4a6f4cBPsPUDx018Pz0G8S/CuD86Fvc+7VuujnK+jN97liS8CiFEB+jn784zs4fyyLRY/r0tk0WJPhzLG4Bb5G8opaFpp7osKAV683G+PPJPvst6jynhU5jdfzYT+07EqOsGX2eLlnXFLGZd1eLbFU77gGC12UhMTCQuLg7j6WP4hlwAEx909PVNmg+FGbD+ZUh8C0beDBMfcAxZ1l3JjG0tkvAqhBAdyMts5O5J/Rkc4sWtyz5zzuZVX133vppqb6pcilmdsZrVGavxM/sxI3IGswfMZqj/ULmpqyXnU5iDrmnx7cqfcf0PCFYrxW7HHDdnNfVtiYsbjL0bRt8B+75zBNfsZNi+EHYsgsFXQ9xD0LcLuja0RCZkaJGEVyGE6AQnLJWYAtY0anWto5QGNR54FNxNRMR+sqqTOFl5kqX7l7J0/1KivKOY3X82V/a/klAP6RvbpLa0zvUWnd3i29O6SOj0jtnXhsyBjARHiD20FvZ+61giJ0Hc/3SPaYZFq0l4FUKITuDnoUczFjUZXAE0TaEZi8k54UtO3iRgIp6+hwkI2U0hyaQXp/N28tu8nfw2Y4LGMHvAbKb1m9Yj+sfW2BVb00+SZ6kk0NPMuCg/9LoOCgptaZ0TZ6crukicK02DqEmO5fgeR3eCXV86hk3L2AiBQxwjFAy7HgzN36jZ4Vo7+YS1omPL0Y1JeBVCiE4QNyAYjxX/l/yKk00O0KXhGOHgf6+7kI0H89l4MJ/iwhgshTGgm4nBczfeAb9RbTzI9uPb2X58Oy9uebHb949dtTuH577fS05xpXNdiLeZZ2YPYcawkC4smThvBQ2Fa9+HS5+GzQsc0wzn7YVv74X/Pg8X3Q+jbwNT7QfDjrh5ym6H4qOOiRxOHID8VMfz/APNn6u+RTPAIxj8B4BfFPgNqH0+wNGn18WtbWWCHnOjmIRXIYToBHqdxnNXxnHfkp0ADQKsVvv6+bmjmDEshBvGRlBjV/yaVcT6AydYn3qCX7PMFBSPQTMUYfROwcUnmSqX423qH9upLaA4gut9S3aiAL3bQUzB31OVO5vc4hjuW7KTBbeMkgAruo53WO00w4/B9o9hy/tQcgzWPAXrX4Gxdzr6xi6acfY3T1kroCDNEUqdQfUgFBx0DEF2rkpzHcuRxMbveYbWhtn+jsUZbKMajyIBPepGMQmvQgjRSWYMC2HBLaMatUQGN9ESqddpjIrwZVSEL49Mi6WwrJqNh/Jrw2wQ+WmT0ZmzMXrtxOD9a4P+sf08I7k6ejZX9b/K2T+2rgU0z7rLGSIDjcPbvQXUVmPnZFk1uSWV/GXF7tqQrjAFrkZvysMUuJryjGg0NJ77fi/ThgR3aIAWokWuPjDpUZjwJ/htOSS+7QiXCf90dC+w25rf31YFJ9OhOKu2BbV2OXHAMVzXGSZDQe/iCJMBsdAnFvoMhD4xjsC7aEbL5b7tB8eEDifT4ORhR0g+meZ4rCwCS7ZjaWpGOa++4N+/Xmttf8c0xz3kRjEJr0II0YlmDAth2pDgNreA+rq7cPWIUK4eEYrdrtiXW8L61BOsPzCcHWn5KNeDGL13YvDcyxFLBvOT5zM/eT5DfEcyxHMqi9d6o+wm3CJPhcjcjOhWtYBWWmsoKKsm31JFfmndUs0JSyXHSy2cKC2hoNxCYUUJlupy0FWj6arAWIXRtxqd+ZhzlAW9axZ694PUlMWSU1zJ1vSTTBjQS+7+Fz2bwQSjboWRt0DqKsfNXZmbW7fvp7PP/J7Z2xFMnSG1dvHp1/QMYNkprTunydMx+URTk0GUn2wYZk8ern1+GKqKoSTLsaRvaN25uhkJr0II0cn0Ou2cAptOpzE01Juhod7cPyUaS6WVpLSxrE+dRnxqJnn2bRi9k9G7HWZvYQp7C1NwjzFQUxHeIEQafBOwVwfxxKp9rDvmS2FFKcWVpViqyyi1llFuLaeqpgIblaCrQtNVo2nVoK9C06pAZ3XcgGbCsfhCS73slAJT4I+Up8cAGjnF5+9NJ6Kb0ulg0CzHsnMJfPen1u3nHeFoOe0T2zCouge0bSSD9hiOzM3PsYSPbbheKUfLaYNgWxtuTxwEW3nry9mFJLwKIUQP52k2csXQYK4YGoxSw0g7cQnrU0+wNvUAKSd/Qee1E70pD4N7eoP9zME/AmAHVuaedlADzv8hWvqPQkPDpHfF1eCGu9ENDxc3amwm9mVXglbd4Lya5piQwRy2iKrca3nhx72cLKvmxnEReJjkvyTRzQQPa912d66CiAntc86OHI5M0xyzjLn3gYjxDd/LToYPp7T9mF1A/lIIIUQvomka0YEeRAd6cNfFUXy1fSh//upXjL6bMAd/12j7mmo/lM0LDxc3fM0euBvd8XRxx9vsga/ZA393LwLcPfF39cTdxR03gxtuRrcGj2aDGZ2ma3hcuyLu5V8o8X29ybFtjZ6pGDxepbRwPC+snsrbvxzklov6cXtcJIGe5g79GQnR7gxN3AB1LrpkOLKe0/dcwqsQQvRifX0dX+QbvXc2MS2tBjVuVBy5h4//z4R27Xuq12ncdEkF/zrUeEaxOppmx8VvEy6+26k6OZ4FG6fwr43pXD+6L3dP6s+AAI92K48QovfQtbyJEEKInmpclB8BgRnoXbMatX5qmkLvmkVAYAbjovza9bxKKTYVfo52htYcDY1Ir0hGBowEzYqLfwKeMa+C308s236Ay99Yzx8/3c6OI4XtWi4hRM8n4VUIIXoxnQZ9wtc5WlmboJRGn/B1tPdoVVa7ldyyXNQZhglSKCzVFv41/V8suHwBQ/2HorQqTH3W4TPwVYz+P7Nm/xGuX5DE3AVJrN17HLv9DEMOCdFR6m6eak5LN0/1FD3oWqXbgBBC9GJWu5UKe0Gz09JW2Auw2q246NtvWkwXvQtfXPUFJytPnnEbP7MfJoOJi/teTFxoHOsy1/FuyrukFqZiCvgZj4DNVJyYxPajE9j+aSEDAtz54yX9mXNhX0wGfbuVVYgz6sibp7qbHnStXRpeN2zYwKuvvsqOHTvIycnhm2++Yc6cOc73lVI899xzfPjhhxQWFjJ+/Hjeffddhg4d2nWFFkKIHqR+iLTbFbuzSygsq8LX3cSwUC90Og0/s1+7Btc6we7BBLsHt2pbTdO4NOJSpoRPYc2RNbyb/C4ZJRkYAn4iICiJyhNTSDsxhie+3sXra1K5Iy6KeeMj8HbtflPiil6mS26e6iI95Fq7NLyWlZUxYsQI7rjjDq6//vpG77/yyiu88cYbLF68mNjYWP7+978zbdo0Dhw4gKenZxeUWAghep76IXJYQBcXpgU6TceMyBlcHnE5K9NXsiBlAVmlWeD/H4IDE7DmX0pe7gheXrWfd9cd4qZx4dx5cRQh3g3v9q6xK7akn2RHvoZ/+kkmRAfKTF5C9BJdGl5nzpzJzJkzm3xPKcWbb77JU089xXXXXQfAJ598QlBQEEuXLuWee+7pzKIKIYToRAadgasHXM3MqJn859B/+OC3D8gtywXfLwkP3IAqnEZW5mA+2pjOosQMrh4Zyj2XDGBgsKdzKlzHFLx6Pj24nZAmpuAVQvRM3bbPa3p6Orm5uUyfPt25zmQyMXnyZJKSks4YXquqqqiqOjUrRUlJCQBWqxWr1dqxha49T/1H0XtI3fZeUrfd2zVR1zAzYiYrDq3g4z0fk195HDyW0H9kGC6WK9ifNoAVO4+xYucxhoR4sjfH0ugYucWV3LdkJ/NvHMEVQ4O64CpEe5Lf2d6nLXXZbcNrbq5jupegoIZ/ZIKCgjhy5MgZ9/vHP/7Bc88912j9mjVrcHNraeLC9rN27dpOO5foXFK3vZfUbffmhRf3m+5nK1vZULWBE1VZ4LKQiMGBuBRdzqGcYU0GV6B2zAPF0ytSsGbUtPvoCnXsCjYWp7FZ/cBF2lVM8h7QYecS8jvbm5SXt35q2m4bXutop80HrJRqtK6+v/zlLzz66KPO1yUlJYSHhzN9+nS8vLw6rJx1rFYra9euZdq0aRiNciNBbyJ123tJ3fYsc5hDmbWMZQeW8dm+zyi05oHPUmKDB5CWOomasoGAht7tIKbg76nKnU1NeQygUVQN2+1RjIrwoY+HC308XPB3d8HHzeWc+8Su3nOcF1fuw+K3Fr3rCVZVrCXx2HD+36zB0trbzuR3tvep+6a8NbpteA0OdtxckJubS0jIqT5KeXl5jVpj6zOZTJhMjccpMxqNnfoPvLPPJzqP1G3vJXXbc/gYfbjvwvu4eejNfLrnUz7b+xk5lWm4RaRRUx5B1YlpmAJXoTflYQpcTXlGNHXTX36+NZPPt2Y2OJ5OAz93E308XAjwNNHHw4S/uwt9ap87gm7teg8XjPqGw6Sv2p3Dg1/8is49FTdXx6xietcsCmp28+AX1Sy4ZVSH97fdlL2Jl7a+xJPjnmRC6IQOPVdX25K7hbdK3sK/wJ+Lwy/u6uKIdtCWv73dNrxGRUURHBzM2rVrufDCCwGorq5m/fr1vPzyy11cOiGEEN2Bl4sXD1z4ADcPvpm/J7zH6syv0bsdxa3fQuc2etcsXPr8jL0qCDQ70UFmlKqhtKqK0uoqyq3VaJqdEq2Gkpoa0otroLgGNDtoNWhaDWh1r21o2DEY7BgNYNTXoNcpSqqqcI2yonMpQCnQNFAKTKFLqbEM56/xa8lhJL5mH3xMDRcvkxc67dzmDFJK8dbOtzhcfJi3dr7FRSEXNfstZU9mq7Hz0pY3OWE/wUtb3uTb0IkY9DLn0vmkS8NraWkphw4dcr5OT08nJSUFPz8/IiIiePjhh3nxxReJiYkhJiaGF198ETc3N+bNm9eFpRZCCNHd+Jp9eeXSv5Lw6hCKXH7C6LuJ+tnNFPCL8/mxuie1DT3mszyntXYB0Exw+rQJmgaaoRKd7zaswBs7fqEpGhreJm98TD54m7zxNfk6X/vUC7t17/mYHc+NulMtVUnZSewp2APAnoI9JGUnEdc37iyvrHuy2q0sT/6NN5K+xOp1AIAjZQeY8NZ7PD/9ehlJ4jzSpeF1+/btTJ061fm6rq/qbbfdxuLFi3n88cepqKjg/vvvd05SsGbNGhnjVQghRCN6ncZzV17EA99k4OK3qdH7NZVBDAoIJcjLHYPOgFFnbPLRoBkcr/VG5/O69/WagWobVFo1yisVZVWKvdllbEorwhT0PTqXhrOZKQXK5oXNMgxfTxtBPjUYjRWU2Uooqiqi1FqKQlFUVURRVVGbrtfD6IG3yRtvF2+OWo4612tovLDlBV6Z9ArBHsH4mf3OuWW3s5Rby8m0ZJJlySLTktlgyS7Nxo4d6t2+ohSUey3j/i/8eO/GqRJgzxNdGl6nTJmCUmeeq1rTNJ599lmeffbZziuUEEKIHuuKocHE7Esgq0yD+lPiKo1+ft58fe0n7f51+qa0AjalfYrelN/oPU0DzViCrXQQucdjya1dPzjEizkDA5gU48eAIA2LtZiiqiKKq4oprCo89byykOKqYme4rVuvUJRaSym1lnLsVFuy41JRZFoyuWnlTQAYNAOBboEEuQcR5Fa7uDd87OPaB4Ou7ZGgrf1slVIUVhU2CKX1g2p+ReOfYYP97To0nd35uu7n6xb9Ek8m/Iib973E9Z2IXifTB/dm3bbPqxBCCNFWSdlJZJWn1t2bdYqmyCpP7ZCv08dG+uIRvJYapTVoda2jlIZ70FruiJrFhoP5pGQWsS+nhH05JSyIT8PLbGBSbABTYoOYPHAYgZ7Nd2SosddgqbZQVFVEYWUhTyc+TaYlE0XDcxs0AzWqBpuykV2WTXZZ9hmPqdf09HHt0yDgBrsHNwi4AW4BDboqnKmfbY29huPlxxu1nNYtZdayZq/Py8WLCM8Iwj3DCfMMI9wznBKLN8+uyME17DN05uxGrduapqhx/Y0//fd+Qt1DuS7mOuZEzyHIXUZ56I0kvAohhOgVlFLMT56PhtYoyIHj6/T5yfOZGDqxXVtf7dhwcyul1Nb0N4mapvBwL+VPl0bxyLSBnCyrZkPqCeIP5LE+9QSF5VZ+/C2HH3/LAWB4X2+mDgxg8sBARob7NBrCS6/TO/rCmn04VnqsQZeB+mzKxruXvUusbyzHy4+TW5bL8bLjHC+vXWqf55XnUaNqnOvPREPD39XfGW7tyt6gn+1NP95EmbWMY6XHsNqbH3A+yC2IcM/wRkuYZxjeJm8Ky6rZl1PC3pwSNh4qYXNaATpTHnrXY42OVVeVVstgPH0yyS7L5p2Ud1jw6wImhU3id7G/Iy40TlpjexEJr0IIIXoFq91Kblluk8EVHF+n55blYrVbcdG7tNt5XfQufDPn3/ywJ5UPNxwmv7Ta+V4fDxf+eEl/rhoa6zynn7sLcy7sy5wL+1JjV/yaVUT8/jziU0/wW1Yxu445lrf/ewhfNyOXxAYwdWAgl8QG4Od+qtytCevvpbzHsiuXEewezIiAEU2Wv8Zew8nKk85Am1ue2+CxLtTa7DbyK/LJr8h3htb66q8z6AyEeYQ5W07rL309+mI2OFqX7XZFRkEZ+3Is/JRawt6cVPbllNRO7Vufwi1yDaqZ1m2dwcIfgj8iMjKdrw9+xc68ncRnxhOfGU+wezDXRV/HtTHXEuwefKaqFD2EpprrdNoLlJSU4O3tTXFxcadNUrBy5UpmzZol40X2MlK3vZfUbe+RW5bLycqTANhsNhITEom7OA6DwdFW42f269DwUmNXbE0/SZ6lkkBPM+Oi/No0+cEJSxXrU0+w7kAeG1NPUFJpc76naTAizIepAwOZOiiA2CBXpv57GqW2wjMez9PgS/yNP59zWLcrO4WVhc6A+8WutSTlf99ou1mhd/I/E24gyC2oUUtnWZWN/bkWZ5eJvTklHMi1UF5d0+Q5I/zcGBLixeAQL6IDTTy5/UbQNz2DGoDd5kHZoSeJ9PPiDxMiGRtbzaoj/+G7tO8orioGQKfpmNR3EtfHXM+ksEln1c9XdIy25DWpNSGEEL1GsHuwM5xarVbSDekM9hvcaR9K9DqNCQP8z3r/AE8Tc0eHMXd0GLYaO8mZRazbn8e6AyfYl1NCSmYRKZlF/PPnVPzdjZTb76NKNR3oNMDN1R+9du7XrtN0+Lv64+/qz5FsHzZmvoLOrJ3W91Tj+7Q1TA66gQv71X7tn13CvhwLe3NKyCgoo6nmMpNBx6BgT4aEOoLqkBAvBgZ74mluWG6LbQFPfbfFca7TrlMBcZH9SDFBRkE5z/+wFzcXPdeNmskHl9xJRuUWvj74Ndtyt7E+az3rs9YT6BrItTHXcl3MdYR6hJ7zz0h0HgmvQgghRDdk0OsYG+nH2Eg/Hp8xiNziStan5rFu/wkSDuVTUGbFMW7UmVupjlfCHz/bTpiPKwa9DqNeh1GvYdDpMOg1XPSOR4Neh1GnYax9bazd1qDXMOpOrdNp8NTqr9EHZDU6l6Yp9K5ZPPTdcmylsU2WJ9DT5AiozqDqSaS/e6smGbhx1Ah8XAJ57vu9DboVhHibeWb2EGYMC6G82sY3ycf4JCmD1OOlLNl8lCWbjxIX7c+tE17kqXHlfJv2Df859B/yKvL44LcP+PC3D4nrG8fc2LlcEnZJg5vSuoPzaea01pLwKoQQQvQAwd5mbhgbwQ1jI6i22Xn7l4O8s+5Qi/v9si+vHUuhcItcia6ZvqcufdZgL4shJtCLwSGnWlQHh3jRx6Px9O1tMWNYCNOGBLPpUB5rNm5h+qTxTIgOdHbNcHMxcPP4fswbF8GmwwV8kpTB2r3HSTxUQOKhAvr6uPKHCXP4ctY9JBck8NXBr9iSs4WEYwkkHEsgwDWAOdFzuC7mOsI8wxqdv7ODZFfOnNadQ7OEVyGEEKKHcTHoiIvu06rwOndUGCE+Zqw1CluNHWuNHau97rnCWmPHVvtYt95Wo6iusWOz13teoyiuqMBmLGoyuIKj9VUzFvHidUO4cWz/9r5swNE1Y3yUHwX7FOPP0KdY0zQmDujDxAF9yCosZ8nmo3yx7SjHiip46af9/HNtKnNG9uXRiW/gcVERXx/8mm8PfcuJihN8tOsj/rXrX0wIncDc2LlMCZ+CUWfskiDZVTOndffphiW8CiGEED3QuCg/QrzN5BZXNjm+goajtfbluRe06aax5mxKK2DeogfQDGceq1XZPOg3xbtdztcewnzdeHLmIB6+PIbvfs3mk6QM9mSXsHx7Jsu3ZzIu0o9bJ97AT9feT0L2er5K/YpNOZtIyk4iKTsJf7M/c6LnEOkV2eogqZTCardSWVNJdU01lbZKqmqqqKyppMpWRVVNVZOvq2qqTm1rq2RVxqoGx31iwxNMDHVMwqDTdGhoaJrmfH76ugavcbxGw/lc07RT+9Vuo2kamZbMbj3dsIRXIYQQogfS6zSemT2E+5bsdN60VKcuqj4ze0i7BVdwBOZg9+AWA/O4KL92O2d7MRv1/H5MOL8bHcaOI4UsTspg1e5ctmacZGvGSYK9zNw8PooXJ86nQuXxzcFv+ObQN+RX5LNw98JGx3s0/lH6e/enyl5Fla3KGVTrgueZhmw7F8XVxfyU8VO7H7c5Ok3XIeMjnwsJr0IIIUQPNWNYCAtuGdXoJqbgejcxtaeuCMztTdM0xkT6MSbSj9ziSpZuOcLSrUfJLank9bWpzP/vIa66IITbJt7KfSPvY0PmBl7b+i5Z5QcbHKfcVs7ugt0tnw8Nk96EyWDCpDdh1psdz3WOdWa92fF+vW1MOhMrM1ZSUFHQIARraAS5BXHz4JtRKOzKjkKhlOO5HTtKqVPvqZa3sSvHdLt1z3PLcknMTnSes24yiu7U+irhVQghhOjB6m5iOpfxZdt6vs4MzB0p2NvMo9MH8qdLo1m5K4fFSUf4NbOIFcnHWJF8jJHhPowMD+RIQUWTQ4Opaj/+OPTPTIoObTKImvVmjDpjm1ssE48l8um+TxutVyhyy3OJ8Y3pkCCplOKmH29Cp+mcoRa6X+urhFchhBCihzvX8WXbqrMDc0czGfRce2EY114YRkpmEZ8mZfDDbzmkZBax6+RW3CKaHhpMMxWwZEsGD0y4st2uvaumOYaGN4jV191aXyW8CiGEEKLNOjswd5aR4T6MvGEkf5k1mFd+2sePJ99pdlraMrcfuWPxGGICvfAyG/FyNeBpNuJlNuDlamywztNkQNdCyLXarRwpzm52muOjxdntPs1xV4bmtpLwKoQQQghxmgBPExdFe7MyueWhwTYcPM6G1IIWj6lp4GEy1AZaI55mgzPc1q3zMOkpS/8TZbbipo9B+82cVp/VbiW3LLfZ0JxbltvuoflsSHgVQgghhGhCqLcX5ektDw1245gofNxcKKm0UlJhxVJpcz4vqbRRUmGlymZHKbBU2rBU2jhWVNHMmT1ql6Ydr4TJr/6XYC/X2tZdw2lh2HjGVmAXQ9OzmbnoXbg35i2e+m5Lo/ha18761NUXdXlwBQmvQgghhBBNau3QYC9cO7zFPq9VthpHqK0XaEsqrfXWWSmpsLE3p5gdR4paLFtWYSVZhZUtbnc6s1HXRLcGI+4mPd+n5FBT3bfJ/TTgrdUn+N1I1eV9myW8CiGEEEI0oT2HBjMZ9Jg89C1OkbsprYCbPtrc4vGemjWYcD9XSipOa+WtDcGntwJbKm0AVFrtVFqrOGGpavEc9Skgp7iSreknu7yvs4RXIYQQQogz6OyhwVo7c9qdF0e1qQW0xq4orWqqxdfxuDXjJKt257Z4nDxL21t725uEVyGEEEKIZnTm0GAdNRGEXqfh7WrE27XpG70Gh3i1KrwGeprbdN6O0HSvXSGEEEII4VQ3NNg1I/syYYB/h/b7rGvtDfZuGBSDvc0suGVUh0wEUdfie6ar0oCQbjL1r7S8CiGEEEJ0M509EURPmvpXwqsQQgghRDfUFTOn9YSpfyW8CiGEEEIIoGdM/SvhVQghhBBCOHX3qX/lhi0hhBBCCNFjSHgVQgghhBA9hoRXIYQQQgjRY0h4FUIIIYQQPYaEVyGEEEII0WNIeBVCCCGEED2GhFchhBBCCNFjSHgVQgghhBA9hoRXIYQQQgjRY0h4FUIIIYQQPYaEVyGEEEII0WNIeBVCCCGEED2GhFchhBBCCNFjGLq6AB1NKQVASUlJp5zParVSXl5OSUkJRqOxU84pOofUbe8ldds7Sb32XlK3vU9dTqvLbc3p9eHVYrEAEB4e3sUlEUIIIYQQzbFYLHh7eze7jaZaE3F7MLvdTnZ2Np6enmia1uHnKykpITw8nMzMTLy8vDr8fKLzSN32XlK3vZPUa+8lddv7KKWwWCyEhoai0zXfq7XXt7zqdDrCwsI6/bxeXl7yC9VLSd32XlK3vZPUa+8lddu7tNTiWkdu2BJCCCGEED2GhFchhBBCCNFjSHhtZyaTiWeeeQaTydTVRRHtTOq295K67Z2kXnsvqdvzW6+/YUsIIYQQQvQe0vIqhBBCCCF6DAmvQgghhBCix5DwKoQQQgghegwJr0IIIYQQoseQ8HoW3nvvPaKiojCbzYwePZqNGzeecdsVK1Ywbdo0AgIC8PLyYsKECaxevboTSyvaoi11W19iYiIGg4GRI0d2bAHFWWlrvVZVVfHUU0/Rr18/TCYTAwYM4OOPP+6k0oq2aGvdfv7554wYMQI3NzdCQkK44447KCgo6KTSitbYsGEDs2fPJjQ0FE3T+Pbbb1vcZ/369YwePRqz2Uz//v15//33O76gostIeG2j5cuX8/DDD/PUU0+RnJzMpEmTmDlzJkePHm1y+w0bNjBt2jRWrlzJjh07mDp1KrNnzyY5ObmTSy5a0ta6rVNcXMytt97KZZdd1kklFW1xNvX6+9//nl9++YWFCxdy4MABli1bxqBBgzqx1KI12lq3CQkJ3Hrrrdx1113s2bOHL7/8km3btnH33Xd3cslFc8rKyhgxYgTvvPNOq7ZPT09n1qxZTJo0ieTkZP7617/y0EMP8fXXX3dwSUWXUaJNxo0bp+69994G6wYNGqSefPLJVh9jyJAh6rnnnmvvoolzdLZ1e8MNN6inn35aPfPMM2rEiBEdWEJxNtparz/99JPy9vZWBQUFnVE8cQ7aWrevvvqq6t+/f4N1b7/9tgoLC+uwMopzA6hvvvmm2W0ef/xxNWjQoAbr7rnnHnXRRRd1YMlEV5KW1zaorq5mx44dTJ8+vcH66dOnk5SU1Kpj2O12LBYLfn5+HVFEcZbOtm4XLVpEWloazzzzTEcXUZyFs6nX7777jjFjxvDKK6/Qt29fYmNj+fOf/0xFRUVnFFm00tnU7cSJE8nKymLlypUopTh+/DhfffUVV155ZWcUWXSQTZs2Nfp3cMUVV7B9+3asVmsXlUp0JENXF6Anyc/Pp6amhqCgoAbrg4KCyM3NbdUxXn/9dcrKyvj973/fEUUUZ+ls6vbgwYM8+eSTbNy4EYNBfpW6o7Op18OHD5OQkIDZbOabb74hPz+f+++/n5MnT0q/127kbOp24sSJfP7559xwww1UVlZis9m4+uqrmT9/fmcUWXSQ3NzcJv8d2Gw28vPzCQkJ6aKSiY4iLa9nQdO0Bq+VUo3WNWXZsmU8++yzLF++nMDAwI4qnjgHra3bmpoa5s2bx3PPPUdsbGxnFU+cpbb8ztrtdjRN4/PPP2fcuHHMmjWLN954g8WLF0vrazfUlrrdu3cvDz30EP/7v//Ljh07WLVqFenp6dx7772dUVTRgZr6d9DUetE7SHNRG/Tp0we9Xt/oU31eXl6jT32nW758OXfddRdffvkll19+eUcWU5yFttatxWJh+/btJCcn88ADDwCO0KOUwmAwsGbNGi699NJOKbs4s7P5nQ0JCaFv3754e3s71w0ePBilFFlZWcTExHRomUXrnE3d/uMf/yAuLo7HHnsMgAsuuAB3d3cmTZrE3//+d2mh66GCg4Ob/HdgMBjw9/fvolKJjiQtr23g4uLC6NGjWbt2bYP1a9euZeLEiWfcb9myZdx+++0sXbpU+lZ1U22tWy8vL3bt2kVKSopzuffeexk4cCApKSmMHz++s4oumnE2v7NxcXFkZ2dTWlrqXJeamopOpyMsLKxDyyta72zqtry8HJ2u4X97er0eONVSJ3qeCRMmNPp3sGbNGsaMGYPRaOyiUokO1WW3ivVQX3zxhTIajWrhwoVq79696uGHH1bu7u4qIyNDKaXUk08+qf7whz84t1+6dKkyGAzq3XffVTk5Oc6lqKioqy5BnEFb6/Z0MtpA99TWerVYLCosLEzNnTtX7dmzR61fv17FxMSou+++u6suQZxBW+t20aJFymAwqPfee0+lpaWphIQENWbMGDVu3LiuugTRBIvFopKTk1VycrIC1BtvvKGSk5PVkSNHlFKN6/Xw4cPKzc1NPfLII2rv3r1q4cKFymg0qq+++qqrLkF0MAmvZ+Hdd99V/fr1Uy4uLmrUqFFq/fr1zvduu+02NXnyZOfryZMnK6DRctttt3V+wUWL2lK3p5Pw2n21tV737dunLr/8cuXq6qrCwsLUo48+qsrLyzu51KI12lq3b7/9thoyZIhydXVVISEh6uabb1ZZWVmdXGrRnHXr1jX7/2ZT9RofH68uvPBC5eLioiIjI9WCBQs6v+Ci02hKyXclQgghhBCiZ5A+r0IIIYQQoseQ8CqEEEIIIXoMCa9CCCGEEKLHkPAqhBBCCCF6DAmvQgghhBCix5DwKoQQQgghegwJr0IIIYQQoseQ8CqEEEIIIXoMCa9CCCEaiI+PR9M0ioqKWr3Ps88+y8iRIzusTEIIUUfCqxDivPD+++/j6emJzWZzristLcVoNDJp0qQG227cuBFN00hNTe3sYnaapKQk9Ho9M2bM6OqiCCFEm0h4FUKcF6ZOnUppaSnbt293rtu4cSPBwcFs27aN8vJy5/r4+HhCQ0OJjY3tiqJ2io8//pgHH3yQhIQEjh492tXFEUKIVpPwKoQ4LwwcOJDQ0FDi4+Od6+Lj47nmmmsYMGAASUlJDdZPnToVgCVLljBmzBg8PT0JDg5m3rx55OXlObf929/+RmhoKAUFBc51V199NZdccgl2ux0ATdP44IMPuOqqq3Bzc2Pw4MFs2rSJQ4cOMWXKFNzd3ZkwYQJpaWnOY6SlpXHNNdcQFBSEh4cHY8eO5eeff25wTZGRkbz44ovceeedeHp6EhERwYcfftjiz6KsrIx///vf3HfffVx11VUsXry42e0XL16Mj48P3377LbGxsZjNZqZNm0ZmZmajbT/77DMiIyPx9vbmxhtvxGKxON9btWoVF198MT4+Pvj7+3PVVVc1uGYhhGgNCa9CiPPGlClTWLdunfP1unXrmDJlCpMnT3aur66uZtOmTc7wWl1dzfPPP8+vv/7Kt99+S3p6OrfffrvzGE899RSRkZHcfffdgKN7woYNG/jss8/Q6U79iX3++ee59dZbSUlJYdCgQcybN4977rmHv/zlL87W4AceeMC5fWlpKbNmzeLnn38mOTmZK664gtmzZzdqJX399dcZM2YMycnJ3H///dx3333s37+/2Z/D8uXLGThwIAMHDuSWW25h0aJFKKWa3ae8vJwXXniBTz75hMTEREpKSrjxxhsbbJOWlsa3337LDz/8wA8//MD69et56aWXnO+XlZXx6KOPsm3bNn755Rd0Oh3XXnutM+QLIUSrKCGEOE98+OGHyt3dXVmtVlVSUqIMBoM6fvy4+uKLL9TEiROVUkqtX79eASotLa3JY2zdulUBymKxONelpaUpT09P9cQTTyg3Nze1ZMmSBvsA6umnn3a+3rRpkwLUwoULneuWLVumzGZzs+UfMmSImj9/vvN1v3791C233OJ8bbfbVWBgoFqwYEGzx5k4caJ68803lVJKWa1W1adPH7V27Vrn++vWrVOAKiwsVEoptWjRIgWozZs3O7fZt2+fAtSWLVuUUko988wzys3NTZWUlDi3eeyxx9T48ePPWI68vDwFqF27djVbXiGEqE9aXoUQ542pU6dSVlbGtm3b2LhxI7GxsQQGBjJ58mS2bdtGWVkZ8fHxRERE0L9/fwCSk5O55ppr6NevH56enkyZMgWgQQto//79ee2113j55ZeZPXs2N998c6NzX3DBBc7nQUFBAAwfPrzBusrKSkpKSgBHK+Xjjz/OkCFD8PHxwcPDg/379zdqea1/XE3TCA4ObtCt4XQHDhxg69atzlZTg8HADTfcwMcff9zsz85gMDBmzBjn60GDBuHj48O+ffuc6yIjI/H09HS+DgkJaVCWtLQ05s2bR//+/fHy8iIqKgpA+twKIdrE0NUFEEKIzhIdHU1YWBjr1q2jsLCQyZMnAxAcHExUVBSJiYmsW7eOSy+9FHAEyOnTpzN9+nSWLFlCQEAAR48e5YorrqC6urrBsTds2IBerycjIwObzYbB0PDPq9FodD7XNO2M6+q+Qn/sscdYvXo1r732GtHR0bi6ujJ37txG561/jLrjNPc1/MKFC7HZbPTt29e5TimF0WiksLAQX1/fM+5bV8YzrWupLLNnzyY8PJyPPvqI0NBQ7HY7w4YNa3RNQgjRHGl5FUKcV6ZOnUp8fDzx8fHOVlSAyZMns3r1ajZv3uzs77p//37y8/N56aWXmDRpEoMGDWqyVXP58uWsWLGC+Ph4MjMzef7558+5nBs3buT222/n2muvZfjw4QQHB5ORkXFOx7TZbHz66ae8/vrrpKSkOJdff/2Vfv368fnnnze7b/2RGg4cOEBRURGDBg1q1bkLCgrYt28fTz/9NJdddhmDBw+msLDwnK5HCHF+kvAqhDivTJ06lYSEBFJSUpwtr+AIrx999BGVlZXO8BoREYGLiwvz58/n8OHDfPfdd42CaVZWFvfddx8vv/wyF198MYsXL+Yf//gHmzdvPqdyRkdHs2LFCme4nDdv3jnf2PTDDz9QWFjIXXfdxbBhwxosc+fOZeHChWfc12g08uCDD7JlyxZ27tzJHXfcwUUXXcS4ceNadW5fX1/8/f358MMPOXToEP/973959NFHz+l6hBDnJwmvQojzytSpU6moqCA6OtrZ9xQc4dVisTBgwADCw8MBCAgIYPHixXz55ZcMGTKEl156iddee825j1KK22+/nXHjxjlHCpg2bRoPPPAAt9xyC6WlpWddzn/+85/4+voyceJEZs+ezRVXXMGoUaPO+njg6DJw+eWX4+3t3ei966+/npSUFHbu3Nnkvm5ubjzxxBPMmzePCRMm4OrqyhdffNHqc+t0Or744gt27NjBsGHDeOSRR3j11VfP+lqEEOcvTakWxkcRQghxXlu8eDEPP/xwm6aLFUKIjiItr0IIIYQQoseQ8CqEEEIIIXoM6TYghBBCCCF6DGl5FUIIIYQQPYaEVyGEEEII0WNIeBVCCCGEED2GhFchhBBCCNFjSHgVQgghhBA9hoRXIYQQQgjRY0h4FUIIIYQQPYaEVyGEEEII0WP8f7We9NPYDiIgAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "# 数据\n",
    "data = [[[26.0, 34, 34.0], [74.0, 36, 36.0], [58.0, 43, 42.0], [30.0, 21, 16.0], [38.0, 26, 26.0], [38.0, 38, 38.0], [24.0, 27, 26.0], [26.0, 26, 21.0], [48.0, 48, 48.0], [44.0, 32, 32.0], [52.0, 33, 32.0], [30.0, 44, 44.0], [44.0, 44, 44.0], [64.0, 38, 36.0], [30.0, 33, 26.0], [24.0, 26, 20.0], [44.0, 57, 54.0], [32.0, 26, 26.0], [34.0, 41, 38.0], [68.0, 68, 68.0], [48.0, 27, 21.0], [24.0, 20, 20.0], [28.0, 36, 36.0], [52.0, 38, 32.0], [18.0, 22, 18.0], [82.0, 101, 98.0], [64.0, 52, 52.0], [24.0, 22, 22.0], [24.0, 23, 23.0], [56.0, 38, 38.0], [40.0, 26, 24.0], [38.0, 34, 30.0], [20.0, 23, 21.0], [34.0, 25, 24.0], [40.0, 29, 26.0], [94.0, 67, 66.0], [28.0, 23, 22.0], [50.0, 38, 38.0], [30.0, 36, 36.0], [44.0, 36, 34.0], [34.0, 26, 25.0], [46.0, 29, 28.0], [34.0, 34, 34.0], [40.0, 28, 28.0], [27.0, 24, 22.0], [36.0, 28, 28.0], [32.0, 42, 42.0], [42.0, 39, 36.0], [36.0, 26, 26.0], [26.0, 30, 28.0], [40.0, 40, 40.0], [30.0, 24, 20.0], [46.0, 34, 34.0], [60.0, 33, 32.0], [48.0, 55, 48.0], [28.0, 24, 24.0], [60.0, 60, 60.0], [24.0, 24, 24.0], [36.0, 34, 34.0], [40.0, 40, 40.0], [28.0, 25, 22.0], [32.0, 28, 28.0], [64.0, 30, 24.0], [26.0, 31, 28.0]], [[22.0, 24, 24.0], [24.0, 24, 24.0], [22.0, 22, 20.0], [28.0, 19, 18.0], [26.0, 19, 19.0], [28.0, 26, 22.0], [30.0, 28, 28.0], [17.0, 31, 28.0], [35.0, 35, 32.0], [46.0, 40, 40.0], [18.0, 17, 14.0], [26.0, 29, 26.0], [38.0, 24, 23.0], [18.0, 19, 17.0], [46.0, 16, 14.0], [24.0, 23, 18.0], [16.0, 19, 18.0], [28.0, 22, 22.0], [22.0, 32, 30.0], [36.0, 22, 21.0], [19.0, 25, 22.0], [36.0, 36, 36.0], [14.0, 19, 14.0], [28.0, 43, 40.0], [48.0, 34, 31.0], [21.0, 23, 22.0], [38.0, 20, 16.0], [36.0, 25, 24.0], [24.0, 17, 16.0], [26.0, 21, 18.0], [30.0, 25, 22.0], [50.0, 26, 22.0], [26.0, 22, 22.0], [21.0, 20, 20.0], [28.0, 28, 26.0], [52.0, 28, 28.0], [26.0, 21, 18.0], [32.0, 36, 36.0], [19.0, 24, 21.0], [26.0, 28, 26.0], [20.0, 24, 20.0], [52.0, 30, 28.0], [24.0, 21, 20.0], [60.0, 21, 20.0], [27.0, 25, 22.0], [20.0, 16, 14.0], [34.0, 25, 24.0], [20.0, 27, 23.0], [20.0, 22, 19.0], [19.0, 16, 16.0], [22.0, 21, 19.0], [20.0, 22, 22.0], [35.0, 22, 17.0], [24.0, 20, 16.0], [18.0, 21, 21.0], [20.0, 28, 23.0], [16.0, 18, 14.0], [22.0, 18, 18.0], [46.0, 31, 22.0], [20.0, 24, 24.0], [44.0, 22, 22.0], [20.0, 25, 24.0], [20.0, 22, 22.0], [34.0, 22, 20.0]], [[30.0, 23, 20.0], [28.0, 32, 32.0], [20.0, 39, 34.0], [14.0, 18, 16.0], [18.0, 18, 16.0], [21.0, 21, 20.0], [30.0, 33, 30.0], [18.0, 16, 14.0], [20.0, 18, 16.0], [18.0, 21, 20.0], [34.0, 18, 18.0], [20.0, 17, 16.0], [16.0, 20, 18.0], [34.0, 17, 16.0], [22.0, 26, 26.0], [18.0, 20, 12.0], [24.0, 24, 24.0], [24.0, 26, 22.0], [18.0, 18, 16.0], [20.0, 16, 16.0], [40.0, 22, 16.0], [36.0, 45, 40.0], [24.0, 26, 26.0], [30.0, 31, 28.0], [32.0, 22, 22.0], [16.0, 18, 14.0], [21.0, 24, 24.0], [22.0, 16, 16.0], [22.0, 27, 24.0], [26.0, 25, 22.0], [22.0, 21, 18.0], [19.0, 21, 20.0], [12.0, 12, 9.0], [28.0, 29, 28.0], [34.0, 18, 17.0], [20.0, 22, 22.0], [16.0, 14, 12.0], [20.0, 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[11.0, 15, 10.0], [8.0, 11, 8.0], [10.0, 13, 12.0], [14.0, 16, 14.0], [8.0, 10, 8.0], [7.0, 7, 6.0], [6.0, 12, 10.0], [14.0, 10, 10.0], [7.0, 10, 7.0], [9.0, 13, 10.0], [8.0, 14, 13.0]]]\n",
    "\n",
    "mean_data = []\n",
    "\n",
    "# 计算均值\n",
    "for i in data:\n",
    "    mean_data.append(np.mean(i, axis=0))\n",
    "\n",
    "# 提取 num_node 数组\n",
    "alphas = [0.2 + round_idx * 0.05 for round_idx in range(len(data))]\n",
    "\n",
    "# 提取三个参数的均值列\n",
    "# sp_gd = [item[0] for item in mean_data]\n",
    "sp_psp = [item[0] for item in mean_data]\n",
    "rpd_gd = [item[1] for item in mean_data]\n",
    "rpsp = [item[2] for item in mean_data]\n",
    "\n",
    "# 提取三个参数的均值列\n",
    "# sp_gd_mean = np.mean(sp_gd)\n",
    "sp_psp_mean = np.mean(sp_psp)\n",
    "rpd_gd_mean = np.mean(rpd_gd)\n",
    "rpsp_mean = np.mean(rpsp)\n",
    "\n",
    "print((rpd_gd[19] - rpsp[19]) / rpd_gd[19])\n",
    "print((sp_psp[19] - rpsp[19]) / sp_psp[19])\n",
    "\n",
    "# 可视化\n",
    "plt.figure(figsize=(8, 6))\n",
    "# plt.plot(alphas, sp_gd, label='shortest_path + greedy_ps_provision', marker='p')\n",
    "plt.plot(alphas, sp_psp, label='SP+PSP', marker='o')\n",
    "plt.plot(alphas, rpd_gd, label='RPD+GD', marker='s')\n",
    "plt.plot(alphas, rpsp, label='RPSP-HE', marker='^')\n",
    "\n",
    "plt.xlabel('Waxman Alpha')\n",
    "plt.ylabel('Used Time Slots')\n",
    "plt.title('node_num=60, sd_num=50')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(\"var_alpha.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  }
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